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48764313 = 32131724517
BaseRepresentation
bin1011101000000…
…1010110011001
310101202111001200
42322001112121
544440424223
64501104413
71131330003
oct272012631
9111674050
1048764313
1125587394
12143b8109
13a144b30
146695373
154433a43
hex2e81599

48764313 has 24 divisors (see below), whose sum is σ = 80320968. Its totient is φ = 28242432.

The previous prime is 48764299. The next prime is 48764323. The reversal of 48764313 is 31346784.

48764313 is a `hidden beast` number, since 4 + 8 + 7 + 643 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1814409 + 46949904 = 1347^2 + 6852^2 .

It is not a de Polignac number, because 48764313 - 24 = 48764297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48764323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10270 + ... + 14247.

It is an arithmetic number, because the mean of its divisors is an integer number (3346707).

Almost surely, 248764313 is an apocalyptic number.

It is an amenable number.

48764313 is a deficient number, since it is larger than the sum of its proper divisors (31556655).

48764313 is a wasteful number, since it uses less digits than its factorization.

48764313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24553 (or 24550 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 48764313 is about 6983.1449218815. The cubic root of 48764313 is about 365.3429266007.

The spelling of 48764313 in words is "forty-eight million, seven hundred sixty-four thousand, three hundred thirteen".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 24517 73551 220653 318721 416789 956163 1250367 2868489 3751101 5418257 16254771 48764313