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75930864 = 2433734241
BaseRepresentation
bin1001000011010…
…01110011110000
312021212200120020
410201221303300
5123414241424
611311243440
71611254532
oct441516360
9167780506
1075930864
1139951a89
1221519580
1312967209
14a127852
1569ed079
hex4869cf0

75930864 has 40 divisors (see below), whose sum is σ = 196726992. Its totient is φ = 25236480.

The previous prime is 75930853. The next prime is 75930901. The reversal of 75930864 is 46803957.

It is a happy number.

It is a super-3 number, since 3×759308643 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15784 + ... + 20024.

Almost surely, 275930864 is an apocalyptic number.

It is an amenable number.

75930864 is an abundant number, since it is smaller than the sum of its proper divisors (120796128).

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

75930864 is a wasteful number, since it uses less digits than its factorization.

75930864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 75930864 is about 8713.8317633519. The cubic root of 75930864 is about 423.4538773975.

The spelling of 75930864 in words is "seventy-five million, nine hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 373 746 1119 1492 2238 2984 4241 4476 5968 8482 8952 12723 16964 17904 25446 33928 50892 67856 101784 203568 1581893 3163786 4745679 6327572 9491358 12655144 18982716 25310288 37965432 75930864