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47013264 = 2433108827
BaseRepresentation
bin1011001101010…
…1110110010000
310021110112002000
42303111312100
544013411024
64355354000
71110414624
oct263256620
9107415060
1047013264
11245a0841
12138b2900
139980acc
14635b184
1541d9cc9
hex2cd5d90

47013264 has 40 divisors (see below), whose sum is σ = 134946720. Its totient is φ = 15670944.

The previous prime is 47013257. The next prime is 47013299. The reversal of 47013264 is 46231074.

47013264 is a `hidden beast` number, since 470 + 132 + 64 = 666.

47013264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 53982 + ... + 54845.

It is an arithmetic number, because the mean of its divisors is an integer number (3373668).

Almost surely, 247013264 is an apocalyptic number.

It is an amenable number.

47013264 is an abundant number, since it is smaller than the sum of its proper divisors (87933456).

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

47013264 is a wasteful number, since it uses less digits than its factorization.

47013264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108844 (or 108832 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 47013264 is about 6856.6219087828. The cubic root of 47013264 is about 360.9165533805.

The spelling of 47013264 in words is "forty-seven million, thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 108827 217654 326481 435308 652962 870616 979443 1305924 1741232 1958886 2611848 2938329 3917772 5223696 5876658 7835544 11753316 15671088 23506632 47013264