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77902968 = 233111322699
BaseRepresentation
bin1001010010010…
…11010001111000
312102120212210010
410221023101320
5124420343333
611421421520
71634110233
oct451132170
9172525703
1077902968
113aa79720
122210a8a0
13131a7a40
14a4bc41a
156c8c563
hex4a4b478

77902968 has 64 divisors (see below), whose sum is σ = 228816000. Its totient is φ = 21790080.

The previous prime is 77902963. The next prime is 77903051. The reversal of 77902968 is 86920977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77902963) 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, 7918 + ... + 14781.

It is an arithmetic number, because the mean of its divisors is an integer number (3575250).

Almost surely, 277902968 is an apocalyptic number.

77902968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

77902968 is an abundant number, since it is smaller than the sum of its proper divisors (150913032).

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

77902968 is a wasteful number, since it uses less digits than its factorization.

77902968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22732 (or 22728 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 77902968 is about 8826.2658015720. The cubic root of 77902968 is about 427.0886217379.

Subtracting 77902968 from its reverse (86920977), we obtain a square (9018009 = 30032).

The spelling of 77902968 in words is "seventy-seven million, nine hundred two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 22699 45398 68097 90796 136194 181592 249689 272388 295087 499378 544776 590174 749067 885261 998756 1180348 1498134 1770522 1997512 2360696 2996268 3245957 3541044 5992536 6491914 7082088 9737871 12983828 19475742 25967656 38951484 77902968