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75675712 = 267315449
BaseRepresentation
bin1001000001010…
…11100001000000
312021101201120011
410200223201000
5123333110322
611301554304
71606142620
oct440534100
9167351504
1075675712
1139798312
1221415994
13128a8038
14a09c880
15699c677
hex482b840

75675712 has 56 divisors (see below), whose sum is σ = 177190400. Its totient is φ = 31380480.

The previous prime is 75675707. The next prime is 75675713. The reversal of 75675712 is 21757657.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (75675713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11164 + ... + 16612.

Almost surely, 275675712 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 75675712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88595200).

75675712 is an abundant number, since it is smaller than the sum of its proper divisors (101514688).

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

75675712 is a wasteful number, since it uses less digits than its factorization.

75675712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5489 counting only the distinct ones).

The product of its digits is 102900, while the sum is 40.

The square root of 75675712 is about 8699.1788118190. The cubic root of 75675712 is about 422.9790316123.

The spelling of 75675712 in words is "seventy-five million, six hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 5449 6944 10898 13888 21796 38143 43592 76286 87184 152572 168919 174368 305144 337838 348736 610288 675676 1182433 1220576 1351352 2364866 2441152 2702704 4729732 5405408 9459464 10810816 18918928 37837856 75675712