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47806864 = 2471273361
BaseRepresentation
bin1011011001011…
…1100110010000
310022221211200121
42312113212100
544214304424
64424400024
71120231420
oct266274620
9108854617
1047806864
1124a93006
1214016014
139b9b0b1
1464c6480
1542e4ee4
hex2d97990

47806864 has 40 divisors (see below), whose sum is σ = 106723328. Its totient is φ = 20321280.

The previous prime is 47806823. The next prime is 47806879. The reversal of 47806864 is 46860874.

47806864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47806864.

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, 12544 + ... + 15904.

Almost surely, 247806864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47806864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53361664).

47806864 is an abundant number, since it is smaller than the sum of its proper divisors (58916464).

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

47806864 is a wasteful number, since it uses less digits than its factorization.

47806864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 47806864 is about 6914.2507909390. The cubic root of 47806864 is about 362.9360308419.

The spelling of 47806864 in words is "forty-seven million, eight hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1778 2032 3361 3556 6722 7112 13444 14224 23527 26888 47054 53776 94108 188216 376432 426847 853694 1707388 2987929 3414776 5975858 6829552 11951716 23903432 47806864