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1926421344 = 2532311271699
BaseRepresentation
bin111001011010010…
…1101101101100000
311222020220100021200
41302310231231200
512421130440334
6515053521200
765511211521
oct16264555540
94866810250
101926421344
118a9461961
124591a3200
132491549b3
14143bc4848
15b41cb799
hex72d2db60

1926421344 has 144 divisors (see below), whose sum is σ = 5702860800. Its totient is φ = 616170240.

The previous prime is 1926421337. The next prime is 1926421411. The reversal of 1926421344 is 4431246291.

1926421344 is a `hidden beast` number, since 1 + 9 + 2 + 642 + 1 + 3 + 4 + 4 = 666.

1926421344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×19264213442 = 7422198389237532672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1926421299 and 1926421308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1133007 + ... + 1134705.

It is an arithmetic number, because the mean of its divisors is an integer number (39603200).

Almost surely, 21926421344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1926421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851430400).

1926421344 is an abundant number, since it is smaller than the sum of its proper divisors (3776439456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1926421344 is a wasteful number, since it uses less digits than its factorization.

1926421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1862 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1926421344 is about 43891.0166662838. The cubic root of 1926421344 is about 1244.2770583916.

The spelling of 1926421344 in words is "one billion, nine hundred twenty-six million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 127 144 186 248 254 279 288 372 381 496 508 558 744 762 992 1016 1116 1143 1488 1524 1699 2032 2232 2286 2976 3048 3398 3937 4064 4464 4572 5097 6096 6796 7874 8928 9144 10194 11811 12192 13592 15291 15748 18288 20388 23622 27184 30582 31496 35433 36576 40776 47244 52669 54368 61164 62992 70866 81552 94488 105338 122328 125984 141732 158007 163104 188976 210676 215773 244656 283464 316014 377952 421352 431546 474021 489312 566928 632028 647319 842704 863092 948042 1133856 1264056 1294638 1685408 1726184 1896084 1941957 2528112 2589276 3452368 3792168 3883914 5056224 5178552 6688963 6904736 7584336 7767828 10357104 13377926 15168672 15535656 20066889 20714208 26755852 31071312 40133778 53511704 60200667 62142624 80267556 107023408 120401334 160535112 214046816 240802668 321070224 481605336 642140448 963210672 1926421344