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49461264 = 2432343481
BaseRepresentation
bin1011110010101…
…1100000010000
310110001220002200
42330223200100
5100130230024
64524043200
71140261636
oct274534020
9113056080
1049461264
1125a12a86
1214693500
13a32a128
1467d7356
1545202c9
hex2f2b810

49461264 has 30 divisors (see below), whose sum is σ = 138423246. Its totient is φ = 16487040.

The previous prime is 49461263. The next prime is 49461281. The reversal of 49461264 is 46216494.

It can be written as a sum of positive squares in only one way, i.e., 34715664 + 14745600 = 5892^2 + 3840^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49461263) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 171597 + ... + 171884.

Almost surely, 249461264 is an apocalyptic number.

It is an amenable number.

49461264 is an abundant number, since it is smaller than the sum of its proper divisors (88961982).

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

49461264 is a wasteful number, since it uses less digits than its factorization.

49461264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343495 (or 343486 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 49461264 is about 7032.8702533176. The cubic root of 49461264 is about 367.0752221035.

The spelling of 49461264 in words is "forty-nine million, four hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 343481 686962 1030443 1373924 2060886 2747848 3091329 4121772 5495696 6182658 8243544 12365316 16487088 24730632 49461264