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996311880 = 23335922511
BaseRepresentation
bin111011011000101…
…000001101001000
32120102201212222000
4323120220031020
54020023440010
6242510231000
733455340234
oct7330501510
92512655860
10996311880
11471434953
122397b5460
1312b548575
149646b5c4
155c7037c0
hex3b628348

996311880 has 64 divisors (see below), whose sum is σ = 3321043200. Its totient is φ = 265682880.

The previous prime is 996311863. The next prime is 996311881. The reversal of 996311880 is 88113699.

996311880 is a `hidden beast` number, since 9 + 9 + 631 + 1 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (996311881) 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, 460176 + ... + 462335.

It is an arithmetic number, because the mean of its divisors is an integer number (51891300).

Almost surely, 2996311880 is an apocalyptic number.

996311880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

996311880 is an abundant number, since it is smaller than the sum of its proper divisors (2324731320).

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

996311880 is a wasteful number, since it uses less digits than its factorization.

996311880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922531 (or 922521 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 996311880 is about 31564.4084373523. The cubic root of 996311880 is about 998.7691122035.

The spelling of 996311880 in words is "nine hundred ninety-six million, three hundred eleven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 922511 1845022 2767533 3690044 4612555 5535066 7380088 8302599 9225110 11070132 13837665 16605198 18450220 22140264 24907797 27675330 33210396 36900440 41512995 49815594 55350660 66420792 83025990 99631188 110701320 124538985 166051980 199262376 249077970 332103960 498155940 996311880