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985957272 = 233419731097
BaseRepresentation
bin111010110001001…
…000001110011000
32112201020211010000
4322301020032120
54004401113042
6241500253000
733301332666
oct7261101630
92481224100
10985957272
11466602323
12236241160
13129361491
1494d33c36
155b85a74c
hex3ac48398

985957272 has 160 divisors (see below), whose sum is σ = 2949447600. Its totient is φ = 306809856.

The previous prime is 985957267. The next prime is 985957289. The reversal of 985957272 is 272759589.

It is a super-2 number, since 2×9859572722 = 1944223484419363968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 898228 + ... + 899324.

Almost surely, 2985957272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985957272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474723800).

985957272 is an abundant number, since it is smaller than the sum of its proper divisors (1963490328).

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

985957272 is a wasteful number, since it uses less digits than its factorization.

985957272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1194 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 985957272 is about 31399.9565604795. The cubic root of 985957272 is about 995.2970071992.

The spelling of 985957272 in words is "nine hundred eighty-five million, nine hundred fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 73 76 81 108 114 146 152 162 171 216 219 228 292 324 342 438 456 513 584 648 657 684 876 1026 1097 1314 1368 1387 1539 1752 1971 2052 2194 2628 2774 3078 3291 3942 4104 4161 4388 5256 5548 5913 6156 6582 7884 8322 8776 9873 11096 11826 12312 12483 13164 15768 16644 19746 20843 23652 24966 26328 29619 33288 37449 39492 41686 47304 49932 59238 62529 74898 78984 80081 83372 88857 99864 112347 118476 125058 149796 160162 166744 177714 187587 224694 236952 240243 250116 299592 320324 355428 375174 449388 480486 500232 562761 640648 710856 720729 750348 898776 960972 1125522 1441458 1500696 1521539 1688283 1921944 2162187 2251044 2882916 3043078 3376566 4324374 4502088 4564617 5765832 6086156 6486561 6753132 8648748 9129234 12172312 12973122 13506264 13693851 17297496 18258468 25946244 27387702 36516936 41081553 51892488 54775404 82163106 109550808 123244659 164326212 246489318 328652424 492978636 985957272