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981905856 = 263172831063
BaseRepresentation
bin111010100001101…
…011000111000000
32112102121222121120
4322201223013000
54002331441411
6241233352240
733222030201
oct7241530700
92472558546
10981905856
11464295448
12234a08680
131285733a9
149459b5a8
155b30a106
hex3a86b1c0

981905856 has 112 divisors (see below), whose sum is σ = 2763097344. Its totient is φ = 306671616.

The previous prime is 981905851. The next prime is 981905891. The reversal of 981905856 is 658509189.

It is a super-2 number, since 2×9819058562 = 1928278220094185472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 981905799 and 981905808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981905851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923181 + ... + 924243.

It is an arithmetic number, because the mean of its divisors is an integer number (24670512).

Almost surely, 2981905856 is an apocalyptic number.

981905856 is a gapful number since it is divisible by the number (96) 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 981905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381548672).

981905856 is an abundant number, since it is smaller than the sum of its proper divisors (1781191488).

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

981905856 is a wasteful number, since it uses less digits than its factorization.

981905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The square root of 981905856 is about 31335.3770680999. The cubic root of 981905856 is about 993.9318709572.

The spelling of 981905856 in words is "nine hundred eighty-one million, nine hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 283 408 544 566 816 849 1063 1088 1132 1632 1698 2126 2264 3189 3264 3396 4252 4528 4811 6378 6792 8504 9056 9622 12756 13584 14433 17008 18071 18112 19244 25512 27168 28866 34016 36142 38488 51024 54213 54336 57732 68032 72284 76976 102048 108426 115464 144568 153952 204096 216852 230928 289136 300829 307904 433704 461856 578272 601658 867408 902487 923712 1156544 1203316 1734816 1804974 2406632 3469632 3609948 4813264 5114093 7219896 9626528 10228186 14439792 15342279 19253056 20456372 28879584 30684558 40912744 57759168 61369116 81825488 122738232 163650976 245476464 327301952 490952928 981905856