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75042768 = 2433894019
BaseRepresentation
bin1000111100100…
…00111111010000
312020012120022210
410132100333100
5123202332033
611240232120
71600565403
oct436207720
9166176283
1075042768
11393a5819
122116b640
1312715c08
149d75d3a
1568c4d63
hex4790fd0

75042768 has 40 divisors (see below), whose sum is σ = 194407200. Its totient is φ = 24943744.

The previous prime is 75042727. The next prime is 75042769. The reversal of 75042768 is 86724057.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75042769) 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 7 ways as a sum of consecutive naturals, for example, 16663 + ... + 20681.

It is an arithmetic number, because the mean of its divisors is an integer number (4860180).

Almost surely, 275042768 is an apocalyptic number.

It is an amenable number.

75042768 is an abundant number, since it is smaller than the sum of its proper divisors (119364432).

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

75042768 is a wasteful number, since it uses less digits than its factorization.

75042768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 75042768 is about 8662.7228975652. The cubic root of 75042768 is about 421.7964772594.

The spelling of 75042768 in words is "seventy-five million, forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 389 778 1167 1556 2334 3112 4019 4668 6224 8038 9336 12057 16076 18672 24114 32152 48228 64304 96456 192912 1563391 3126782 4690173 6253564 9380346 12507128 18760692 25014256 37521384 75042768