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75814056 = 233559661
BaseRepresentation
bin1001000010011…
…01010010101000
312021122202100000
410201031102220
5123402022211
611304543000
71610260143
oct441152250
9167582300
1075814056
113988224a
1221481a60
1312925cb6
14a0d705a
1569c8656
hex484d4a8

75814056 has 96 divisors (see below), whose sum is σ = 216871200. Its totient is φ = 24805440.

The previous prime is 75813989. The next prime is 75814061. The reversal of 75814056 is 65041857.

It is a super-2 number, since 2×758140562 = 11495542174342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 75814056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114366 + ... + 115026.

It is an arithmetic number, because the mean of its divisors is an integer number (2259075).

Almost surely, 275814056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75814056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108435600).

75814056 is an abundant number, since it is smaller than the sum of its proper divisors (141057144).

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

75814056 is a wasteful number, since it uses less digits than its factorization.

75814056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 75814056 is about 8707.1267361857. The cubic root of 75814056 is about 423.2366263208.

The spelling of 75814056 in words is "seventy-five million, eight hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 243 324 354 472 486 531 648 661 708 972 1062 1322 1416 1593 1944 1983 2124 2644 3186 3966 4248 4779 5288 5949 6372 7932 9558 11898 12744 14337 15864 17847 19116 23796 28674 35694 38232 38999 47592 53541 57348 71388 77998 107082 114696 116997 142776 155996 160623 214164 233994 311992 321246 350991 428328 467988 642492 701982 935976 1052973 1284984 1403964 2105946 2807928 3158919 4211892 6317838 8423784 9476757 12635676 18953514 25271352 37907028 75814056