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996433872 = 2437191271229
BaseRepresentation
bin111011011001000…
…101111111010000
32120102222002022020
4323121011333100
54020041340442
6242513011440
733456356010
oct7331057720
92512862266
10996433872
11471508575
12239853b80
1312b58bc55
149649dc40
155c7299ec
hex3b645fd0

996433872 has 160 divisors (see below), whose sum is σ = 3123609600. Its totient is φ = 267369984.

The previous prime is 996433843. The next prime is 996433901. The reversal of 996433872 is 278334699.

It is an interprime number because it is at equal distance from previous prime (996433843) and next prime (996433901).

It is a super-2 number, since 2×9964338722 = 1985760922537824768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810154 + ... + 811382.

It is an arithmetic number, because the mean of its divisors is an integer number (19522560).

Almost surely, 2996433872 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 996433872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561804800).

996433872 is an abundant number, since it is smaller than the sum of its proper divisors (2127175728).

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

996433872 is a wasteful number, since it uses less digits than its factorization.

996433872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 996433872 is about 31566.3408078922. The cubic root of 996433872 is about 998.8098748306.

The spelling of 996433872 in words is "nine hundred ninety-six million, four hundred thirty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 127 133 152 168 228 254 266 304 336 381 399 456 508 532 762 798 889 912 1016 1064 1229 1524 1596 1778 2032 2128 2413 2458 2667 3048 3192 3556 3687 4826 4916 5334 6096 6384 7112 7239 7374 8603 9652 9832 10668 14224 14478 14748 16891 17206 19304 19664 21336 23351 25809 28956 29496 33782 34412 38608 42672 46702 50673 51618 57912 58992 67564 68824 70053 93404 101346 103236 115824 135128 137648 140106 156083 163457 186808 202692 206472 270256 280212 312166 326914 373616 405384 412944 468249 490371 560424 624332 653828 810768 936498 980742 1092581 1120848 1248664 1307656 1872996 1961484 2185162 2497328 2615312 2965577 3277743 3745992 3922968 4370324 5931154 6555486 7491984 7845936 8740648 8896731 11862308 13110972 17481296 17793462 20759039 23724616 26221944 35586924 41518078 47449232 52443888 62277117 71173848 83036156 124554234 142347696 166072312 249108468 332144624 498216936 996433872