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75320768 = 262351169
BaseRepresentation
bin1000111110101…
…00110111000000
312020201200200002
410133110313000
5123240231033
611250215132
71603134035
oct437246700
9166650602
1075320768
1139575676
12212844a8
13127b2603
14a00938c
15692c3e8
hex47d4dc0

75320768 has 28 divisors (see below), whose sum is σ = 155966160. Its totient is φ = 36022272.

The previous prime is 75320767. The next prime is 75320771. The reversal of 75320768 is 86702357.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75320767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24113 + ... + 27056.

It is an arithmetic number, because the mean of its divisors is an integer number (5570220).

Almost surely, 275320768 is an apocalyptic number.

It is an amenable number.

75320768 is an abundant number, since it is smaller than the sum of its proper divisors (80645392).

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

75320768 is a wasteful number, since it uses less digits than its factorization.

75320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51204 (or 51194 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 75320768 is about 8678.7538275953. The cubic root of 75320768 is about 422.3166913681.

The spelling of 75320768 in words is "seventy-five million, three hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 51169 102338 204676 409352 818704 1176887 1637408 2353774 3274816 4707548 9415096 18830192 37660384 75320768