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982057056 = 25361672503
BaseRepresentation
bin111010100010010…
…000000001100000
32112102220200000120
4322202100001200
54002401311211
6241240520240
733223230051
oct7242200140
92472820016
10982057056
11464389002
12234a80080
131285c7166
14945da728
155b339d06
hex3a890060

982057056 has 96 divisors (see below), whose sum is σ = 2660329728. Its totient is φ = 317053440.

The previous prime is 982057001. The next prime is 982057067. The reversal of 982057056 is 650750289.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9820570562 = 1928872122478774272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 982056999 and 982057017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391101 + ... + 393603.

It is an arithmetic number, because the mean of its divisors is an integer number (27711768).

Almost surely, 2982057056 is an apocalyptic number.

982057056 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 982057056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330164864).

982057056 is an abundant number, since it is smaller than the sum of its proper divisors (1678272672).

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

982057056 is a wasteful number, since it uses less digits than its factorization.

982057056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 982057056 is about 31337.7895838236. The cubic root of 982057056 is about 993.9828856191.

The spelling of 982057056 in words is "nine hundred eighty-two million, fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 67 96 122 134 183 201 244 268 366 402 488 536 732 804 976 1072 1464 1608 1952 2144 2503 2928 3216 4087 5006 5856 6432 7509 8174 10012 12261 15018 16348 20024 24522 30036 32696 40048 49044 60072 65392 80096 98088 120144 130784 152683 167701 196176 240288 305366 335402 392352 458049 503103 610732 670804 916098 1006206 1221464 1341608 1832196 2012412 2442928 2683216 3664392 4024824 4885856 5366432 7328784 8049648 10229761 14657568 16099296 20459522 30689283 40919044 61378566 81838088 122757132 163676176 245514264 327352352 491028528 982057056