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73086144 = 263380657
BaseRepresentation
bin1000101101100…
…11010011000000
312002112011100020
410112303103000
5122202224034
611130253440
71545136065
oct426632300
9162464306
1073086144
113828977a
1220587280
13121ac451
1499c6c6c
15663a249
hex45b34c0

73086144 has 28 divisors (see below), whose sum is σ = 193374264. Its totient is φ = 24361984.

The previous prime is 73086131. The next prime is 73086161. The reversal of 73086144 is 44168037.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 190137 + ... + 190520.

Almost surely, 273086144 is an apocalyptic number.

It is an amenable number.

73086144 is an abundant number, since it is smaller than the sum of its proper divisors (120288120).

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

73086144 is a wasteful number, since it uses less digits than its factorization.

73086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380672 (or 380662 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 73086144 is about 8549.0434552645. The cubic root of 73086144 is about 418.0982499907.

The spelling of 73086144 in words is "seventy-three million, eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 380657 761314 1141971 1522628 2283942 3045256 4567884 6090512 9135768 12181024 18271536 24362048 36543072 73086144