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75306864 = 24313911287
BaseRepresentation
bin1000111110100…
…01011101110000
312020200222121010
410133101131300
5123234304424
611250030520
71603045353
oct437213560
9166628533
1075306864
1139566186
1221278440
13127a9199
14a00429a
156928229
hex47d1770

75306864 has 40 divisors (see below), whose sum is σ = 195959680. Its totient is φ = 24919488.

The previous prime is 75306859. The next prime is 75306883. The reversal of 75306864 is 46860357.

It is a super-2 number, since 2×753068642 = 11342247531028992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029 + ... + 12315.

It is an arithmetic number, because the mean of its divisors is an integer number (4898992).

Almost surely, 275306864 is an apocalyptic number.

It is an amenable number.

75306864 is an abundant number, since it is smaller than the sum of its proper divisors (120652816).

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

75306864 is a wasteful number, since it uses less digits than its factorization.

75306864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11437 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 75306864 is about 8677.9527539622. The cubic root of 75306864 is about 422.2907036147.

The spelling of 75306864 in words is "seventy-five million, three hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 3336 6672 11287 22574 33861 45148 67722 90296 135444 180592 270888 541776 1568893 3137786 4706679 6275572 9413358 12551144 18826716 25102288 37653432 75306864