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75625056 = 2533136733
BaseRepresentation
bin1001000000111…
…11001001100000
312021022011002000
410200133021200
5123330000211
611300524000
71605542133
oct440371140
9167264060
1075625056
1139763251
12213b0600
131288ac70
14a08821a
15698c656
hex481f260

75625056 has 96 divisors (see below), whose sum is σ = 237575520. Its totient is φ = 23265792.

The previous prime is 75625051. The next prime is 75625091. The reversal of 75625056 is 65052657.

It is a tau number, because it is divible by the number of its divisors (96).

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 75625056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75625051) 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, 7866 + ... + 14598.

It is an arithmetic number, because the mean of its divisors is an integer number (2474745).

Almost surely, 275625056 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 75625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118787760).

75625056 is an abundant number, since it is smaller than the sum of its proper divisors (161950464).

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

75625056 is a wasteful number, since it uses less digits than its factorization.

75625056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6765 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 75625056 is about 8696.2667852361. The cubic root of 75625056 is about 422.8846322871.

Adding to 75625056 its product of nonzero digits (63000), we get a triangular number (75688056 = T12303).

The spelling of 75625056 in words is "seventy-five million, six hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 6733 11232 13466 20199 26932 40398 53864 60597 80796 87529 107728 121194 161592 175058 181791 215456 242388 262587 323184 350116 363582 484776 525174 646368 700232 727164 787761 969552 1050348 1400464 1454328 1575522 1939104 2100696 2363283 2800928 2908656 3151044 4201392 4726566 5817312 6302088 8402784 9453132 12604176 18906264 25208352 37812528 75625056