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19421856 = 253459127
BaseRepresentation
bin100101000010…
…1101010100000
31100112201210000
41022011222200
514432444411
61532140000
7324040326
oct112055240
940481700
1019421856
11aa65a23
126607600
13404022c
142817d16
151a89956
hex1285aa0

19421856 has 120 divisors (see below), whose sum is σ = 58544640. Its totient is φ = 6314112.

The previous prime is 19421849. The next prime is 19421861. The reversal of 19421856 is 65812491.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19421856.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152865 + ... + 152991.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 219421856 is an apocalyptic number.

19421856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19421856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

19421856 is an abundant number, since it is smaller than the sum of its proper divisors (39122784).

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

19421856 is a wasteful number, since it uses less digits than its factorization.

19421856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 19421856 is about 4407.0234853016. The cubic root of 19421856 is about 268.8006058660.

It can be divided in two parts, 19 and 421856, that added together give a cube (421875 = 753).

The spelling of 19421856 in words is "nineteen million, four hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 127 144 162 177 216 236 254 288 324 354 381 432 472 508 531 648 708 762 864 944 1016 1062 1143 1296 1416 1524 1593 1888 2032 2124 2286 2592 2832 3048 3186 3429 4064 4248 4572 4779 5664 6096 6372 6858 7493 8496 9144 9558 10287 12192 12744 13716 14986 16992 18288 19116 20574 22479 25488 27432 29972 36576 38232 41148 44958 50976 54864 59944 67437 76464 82296 89916 109728 119888 134874 152928 164592 179832 202311 239776 269748 329184 359664 404622 539496 606933 719328 809244 1078992 1213866 1618488 2157984 2427732 3236976 4855464 6473952 9710928 19421856