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996634962 = 233175918401
BaseRepresentation
bin111011011001110…
…111000101010010
32120110100022011000
4323121313011102
54020114304322
6242521202430
733461154201
oct7331670522
92513308130
10996634962
11471635664
12239930416
1312b62c63b
1496513238
155c7693ac
hex3b677152

996634962 has 64 divisors (see below), whose sum is σ = 2384899200. Its totient is φ = 307353600.

The previous prime is 996634943. The next prime is 996634981. The reversal of 996634962 is 269436699.

996634962 is a `hidden beast` number, since 9 + 96 + 63 + 496 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (996634943) and next prime (996634981).

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

It is a junction number, because it is equal to n+sod(n) for n = 996634899 and 996634908.

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, 44962 + ... + 63362.

It is an arithmetic number, because the mean of its divisors is an integer number (37264050).

Almost surely, 2996634962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996634962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192449600).

996634962 is an abundant number, since it is smaller than the sum of its proper divisors (1388264238).

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

996634962 is a wasteful number, since it uses less digits than its factorization.

996634962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18488 (or 18482 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 996634962 is about 31569.5258437627. The cubic root of 996634962 is about 998.8770601448.

The spelling of 996634962 in words is "nine hundred ninety-six million, six hundred thirty-four thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 59 102 118 153 177 306 354 459 531 918 1003 1062 1593 2006 3009 3186 6018 9027 18054 18401 27081 36802 54162 55203 110406 165609 312817 331218 496827 625634 938451 993654 1085659 1876902 2171318 2815353 3256977 5630706 6513954 8446059 9770931 16892118 18456203 19541862 29312793 36912406 55368609 58625586 110737218 166105827 332211654 498317481 996634962