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47488064 = 261357077
BaseRepresentation
bin1011010100100…
…1110001000000
310022100122101012
42311021301000
544124104224
64413500052
71114433111
oct265116100
9108318335
1047488064
1124895538
1213aa1628
139ab8c60
146442208
15428080e
hex2d49c40

47488064 has 28 divisors (see below), whose sum is σ = 101484684. Its totient is φ = 21917184.

The previous prime is 47488037. The next prime is 47488093. The reversal of 47488064 is 46088474.

It can be written as a sum of positive squares in 2 ways, for example, as 9048064 + 38440000 = 3008^2 + 6200^2 .

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27707 + ... + 29370.

It is an arithmetic number, because the mean of its divisors is an integer number (3624453).

Almost surely, 247488064 is an apocalyptic number.

It is an amenable number.

47488064 is an abundant number, since it is smaller than the sum of its proper divisors (53996620).

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

47488064 is a wasteful number, since it uses less digits than its factorization.

47488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57102 (or 57092 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 47488064 is about 6891.1583931876. The cubic root of 47488064 is about 362.1274847834.

The spelling of 47488064 in words is "forty-seven million, four hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 57077 114154 228308 456616 742001 913232 1484002 1826464 2968004 3652928 5936008 11872016 23744032 47488064