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48764261 = 7213372069
BaseRepresentation
bin1011101000000…
…1010101100101
310101202110222202
42322001111211
544440424021
64501104245
71131326600
oct272012545
9111673882
1048764261
1125587347
12143b8085
13a144ac0
146695337
154433a0b
hex2e81565

48764261 has 24 divisors (see below), whose sum is σ = 62770680. Its totient is φ = 37521792.

The previous prime is 48764249. The next prime is 48764263. The reversal of 48764261 is 16246784.

It can be written as a sum of positive squares in 4 ways, for example, as 2660161 + 46104100 = 1631^2 + 6790^2 .

It is not a de Polignac number, because 48764261 - 26 = 48764197 is a prime.

It is a super-2 number, since 2×487642612 = 4755906301752242, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48764263) 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, 22535 + ... + 24603.

It is an arithmetic number, because the mean of its divisors is an integer number (2615445).

Almost surely, 248764261 is an apocalyptic number.

It is an amenable number.

48764261 is a deficient number, since it is larger than the sum of its proper divisors (14006419).

48764261 is a wasteful number, since it uses less digits than its factorization.

48764261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2126 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 48764261 is about 6983.1411986297. The cubic root of 48764261 is about 365.3427967391.

The spelling of 48764261 in words is "forty-eight million, seven hundred sixty-four thousand, two hundred sixty-one".

Divisors: 1 7 13 37 49 91 259 481 637 1813 2069 3367 14483 23569 26897 76553 101381 188279 535871 995189 1317953 3751097 6966323 48764261