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1924425384 = 233729834759
BaseRepresentation
bin111001010110100…
…0110011010101000
311222010010221100020
41302231012122220
512420123103014
6514543040440
765455226430
oct16255063250
94863127306
101924425384
118a8319302
124585a0120
1324890635b
141438252c0
15b3e351a9
hex72b466a8

1924425384 has 128 divisors (see below), whose sum is σ = 5757696000. Its totient is φ = 524369664.

The previous prime is 1924425383. The next prime is 1924425403. The reversal of 1924425384 is 4835244291.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1924425383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401997 + ... + 406755.

It is an arithmetic number, because the mean of its divisors is an integer number (44982000).

Almost surely, 21924425384 is an apocalyptic number.

1924425384 is a gapful number since it is divisible by the number (14) 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 1924425384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878848000).

1924425384 is an abundant number, since it is smaller than the sum of its proper divisors (3833270616).

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

1924425384 is a wasteful number, since it uses less digits than its factorization.

1924425384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4883 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 1924425384 is about 43868.2730911532. The cubic root of 1924425384 is about 1243.8471791815.

The spelling of 1924425384 in words is "one billion, nine hundred twenty-four million, four hundred twenty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 83 84 87 116 166 168 174 203 232 249 332 348 406 498 581 609 664 696 812 996 1162 1218 1624 1743 1992 2324 2407 2436 3486 4648 4759 4814 4872 6972 7221 9518 9628 13944 14277 14442 16849 19036 19256 28554 28884 33313 33698 38072 50547 57108 57768 66626 67396 99939 101094 114216 133252 134792 138011 199878 202188 266504 276022 394997 399756 404376 414033 552044 789994 799512 828066 966077 1104088 1184991 1579988 1656132 1932154 2369982 2764979 2898231 3159976 3312264 3864308 4739964 5529958 5796462 7728616 8294937 9479928 11059916 11454913 11592924 16589874 22119832 22909826 23185848 33179748 34364739 45819652 66359496 68729478 80184391 91639304 137458956 160368782 240553173 274917912 320737564 481106346 641475128 962212692 1924425384