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47013057 = 32713137419
BaseRepresentation
bin1011001101010…
…1110011000001
310021110111210100
42303111303001
544013404212
64355353013
71110414210
oct263256301
9107414710
1047013057
11245a0673
12138b2769
1399809a0
14635b077
1541d9bdc
hex2cd5cc1

47013057 has 48 divisors (see below), whose sum is σ = 84389760. Its totient is φ = 24558336.

The previous prime is 47013047. The next prime is 47013073. The reversal of 47013057 is 75031074.

47013057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47013057 - 27 = 47012929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47013057.

It is not an unprimeable number, because it can be changed into a prime (47013037) 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 47 ways as a sum of consecutive naturals, for example, 111994 + ... + 112412.

It is an arithmetic number, because the mean of its divisors is an integer number (1758120).

Almost surely, 247013057 is an apocalyptic number.

It is an amenable number.

47013057 is a deficient number, since it is larger than the sum of its proper divisors (37376703).

47013057 is a wasteful number, since it uses less digits than its factorization.

47013057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 47013057 is about 6856.6068138694. The cubic root of 47013057 is about 360.9160236730.

The spelling of 47013057 in words is "forty-seven million, thirteen thousand, fifty-seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 137 273 411 419 819 959 1233 1257 1781 2877 2933 3771 5343 5447 8631 8799 12467 16029 16341 26397 37401 38129 49023 57403 112203 114387 172209 343161 401821 516627 746239 1205463 2238717 3616389 5223673 6716151 15671019 47013057