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48083364 = 22327190807
BaseRepresentation
bin1011011101101…
…1000110100100
310100110212222100
42313123012210
544302131424
64434332100
71122462510
oct267330644
9110425870
1048083364
112516181a
121412a030
139c66bc4
146559140
15434bdc9
hex2ddb1a4

48083364 has 36 divisors (see below), whose sum is σ = 138908224. Its totient is φ = 13738032.

The previous prime is 48083353. The next prime is 48083369. The reversal of 48083364 is 46338084.

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

It is a super-3 number, since 3×480833643 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48083369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95152 + ... + 95655.

Almost surely, 248083364 is an apocalyptic number.

It is an amenable number.

48083364 is an abundant number, since it is smaller than the sum of its proper divisors (90824860).

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

48083364 is a wasteful number, since it uses less digits than its factorization.

48083364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190824 (or 190819 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48083364 is about 6934.2168988286. The cubic root of 48083364 is about 363.6343891635.

The spelling of 48083364 in words is "forty-eight million, eighty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 190807 381614 572421 763228 1144842 1335649 1717263 2289684 2671298 3434526 4006947 5342596 6869052 8013894 12020841 16027788 24041682 48083364