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992768964 = 2231123326999
BaseRepresentation
bin111011001011000…
…111001111000100
32120012001212222220
4323023013033010
54013122101324
6242302252340
733413253105
oct7313071704
92505055886
10992768964
1146a435020
122385870b0
1312a8a7a75
1495bc83ac
155c253b79
hex3b2c73c4

992768964 has 48 divisors (see below), whose sum is σ = 2636928000. Its totient is φ = 287758240.

The previous prime is 992768951. The next prime is 992768969. The reversal of 992768964 is 469867299.

It is a junction number, because it is equal to n+sod(n) for n = 992768898 and 992768907.

It is not an unprimeable number, because it can be changed into a prime (992768969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160464 + ... + 166535.

It is an arithmetic number, because the mean of its divisors is an integer number (54936000).

Almost surely, 2992768964 is an apocalyptic number.

It is an amenable number.

992768964 is an abundant number, since it is smaller than the sum of its proper divisors (1644159036).

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

992768964 is a wasteful number, since it uses less digits than its factorization.

992768964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327040 (or 327038 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 60.

The square root of 992768964 is about 31508.2364469991. The cubic root of 992768964 is about 997.5838214497.

The spelling of 992768964 in words is "nine hundred ninety-two million, seven hundred sixty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 326999 653998 980997 1307996 1961994 3596989 3923988 7193978 7520977 10790967 14387956 15041954 21581934 22562931 30083908 43163868 45125862 82730747 90251724 165461494 248192241 330922988 496384482 992768964