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75727044 = 223217123737
BaseRepresentation
bin1001000001110…
…00000011000100
312021111022222100
410200320003010
5123341231134
611303032100
71606445361
oct440700304
9167438870
1075727044
1139822938
122143b630
13128c5503
14a0b3468
1569ac999
hex48380c4

75727044 has 36 divisors (see below), whose sum is σ = 202682844. Its totient is φ = 23757312.

The previous prime is 75727037. The next prime is 75727081. The reversal of 75727044 is 44072757.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65804544 + 9922500 = 8112^2 + 3150^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61257 + ... + 62480.

It is an arithmetic number, because the mean of its divisors is an integer number (5630079).

Almost surely, 275727044 is an apocalyptic number.

It is an amenable number.

75727044 is an abundant number, since it is smaller than the sum of its proper divisors (126955800).

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

75727044 is a wasteful number, since it uses less digits than its factorization.

75727044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123764 (or 123759 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 75727044 is about 8702.1287050928. The cubic root of 75727044 is about 423.0746477250.

The spelling of 75727044 in words is "seventy-five million, seven hundred twenty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 123737 247474 371211 494948 742422 1113633 1484844 2103529 2227266 4207058 4454532 6310587 8414116 12621174 18931761 25242348 37863522 75727044