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985426272 = 253210931391
BaseRepresentation
bin111010101111000…
…110100101100000
32112200020211201100
4322233012211200
54004232120042
6241441034400
733263661615
oct7257064540
92480224640
10985426272
1146627a386
12236025a00
1312920688c
1494c3650c
155b7a324c
hex3abc6960

985426272 has 72 divisors (see below), whose sum is σ = 2828105280. Its totient is φ = 325451520.

The previous prime is 985426249. The next prime is 985426307. The reversal of 985426272 is 272624589.

985426272 is digitally balanced in base 2, 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15697 + ... + 47087.

It is an arithmetic number, because the mean of its divisors is an integer number (39279240).

Almost surely, 2985426272 is an apocalyptic number.

It is a pronic number, being equal to 31391×31392.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985426272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414052640).

985426272 is an abundant number, since it is smaller than the sum of its proper divisors (1842679008).

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

985426272 is a wasteful number, since it uses less digits than its factorization.

985426272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31516 (or 31505 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 985426272 is about 31391.4999960180. The cubic root of 985426272 is about 995.1182984351.

The spelling of 985426272 in words is "nine hundred eighty-five million, four hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31391 31392 62782 94173 125564 188346 251128 282519 376692 502256 565038 753384 1004512 1130076 1506768 2260152 3013536 3421619 4520304 6843238 9040608 10264857 13686476 20529714 27372952 30794571 41059428 54745904 61589142 82118856 109491808 123178284 164237712 246356568 328475424 492713136 985426272