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75139008 = 2637371511
BaseRepresentation
bin1000111101010…
…00011111000000
312020101110100020
410132220133000
5123213422013
611242253440
71601446110
oct436503700
9166343306
1075139008
113946105a
12211b7280
131274a969
149d9d040
1568e3623
hex47a87c0

75139008 has 112 divisors (see below), whose sum is σ = 233501184. Its totient is φ = 20874240.

The previous prime is 75138983. The next prime is 75139027. The reversal of 75139008 is 80093157.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 75139008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48973 + ... + 50483.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 275139008 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 75139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

75139008 is an abundant number, since it is smaller than the sum of its proper divisors (158362176).

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

75139008 is a wasteful number, since it uses less digits than its factorization.

75139008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 75139008 is about 8668.2759531524. The cubic root of 75139008 is about 421.9767138233.

The spelling of 75139008 in words is "seventy-five million, one hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1511 1554 1776 2072 2368 3022 3108 3552 4144 4533 6044 6216 7104 8288 9066 10577 12088 12432 16576 18132 21154 24176 24864 31731 36264 42308 48352 49728 55907 63462 72528 84616 96704 111814 126924 145056 167721 169232 223628 253848 290112 335442 338464 391349 447256 507696 670884 676928 782698 894512 1015392 1174047 1341768 1565396 1789024 2030784 2348094 2683536 3130792 3578048 4696188 5367072 6261584 9392376 10734144 12523168 18784752 25046336 37569504 75139008