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47076264 = 23321738461
BaseRepresentation
bin1011001110010…
…1001110101000
310021120201111100
42303211032220
544022420024
64401001400
71111066404
oct263451650
9107521440
1047076264
1124634104
1213923260
1399a36a1
146376104
1541ed7c9
hex2ce53a8

47076264 has 48 divisors (see below), whose sum is σ = 135001620. Its totient is φ = 14768640.

The previous prime is 47076229. The next prime is 47076269. The reversal of 47076264 is 46267074.

47076264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47032164 + 44100 = 6858^2 + 210^2 .

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

It is not an unprimeable number, because it can be changed into a prime (47076269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18007 + ... + 20454.

Almost surely, 247076264 is an apocalyptic number.

It is an amenable number.

47076264 is an abundant number, since it is smaller than the sum of its proper divisors (87925356).

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

47076264 is a wasteful number, since it uses less digits than its factorization.

47076264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38490 (or 38483 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 47076264 is about 6861.2144697568. The cubic root of 47076264 is about 361.0776965128.

The spelling of 47076264 in words is "forty-seven million, seventy-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 38461 76922 115383 153844 230766 307688 346149 461532 653837 692298 923064 1307674 1384596 1961511 2615348 2769192 3923022 5230696 5884533 7846044 11769066 15692088 23538132 47076264