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75414664 = 23136779137
BaseRepresentation
bin1000111111010…
…11110010001000
312020220110110201
410133223302020
5123301232124
611252221544
71604004553
oct437536210
9166813421
1075414664
113962a176
122130a8b4
1312816280
14a03169a
15694a144
hex47ebc88

75414664 has 64 divisors (see below), whose sum is σ = 157651200. Its totient is φ = 33606144.

The previous prime is 75414659. The next prime is 75414673. The reversal of 75414664 is 46641457.

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, 550404 + ... + 550540.

It is an arithmetic number, because the mean of its divisors is an integer number (2463300).

Almost surely, 275414664 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 75414664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78825600).

75414664 is an abundant number, since it is smaller than the sum of its proper divisors (82236536).

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

75414664 is a wasteful number, since it uses less digits than its factorization.

75414664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 75414664 is about 8684.1616751417. The cubic root of 75414664 is about 422.4921072718.

The spelling of 75414664 in words is "seventy-five million, four hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 67 79 104 134 137 158 268 274 316 536 548 632 871 1027 1096 1742 1781 2054 3484 3562 4108 5293 6968 7124 8216 9179 10586 10823 14248 18358 21172 21646 36716 42344 43292 68809 73432 86584 119327 137618 140699 238654 275236 281398 477308 550472 562796 725141 954616 1125592 1450282 2900564 5801128 9426833 18853666 37707332 75414664