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47087616 = 2153479
BaseRepresentation
bin1011001110100…
…0000000000000
310021121022001210
42303220000000
544023300431
64401130120
71111144452
oct263500000
9107538053
1047087616
1124641694
1213929940
1399a88c4
14637a2d2
154201d46
hex2ce8000

47087616 has 64 divisors (see below), whose sum is σ = 125827200. Its totient is φ = 15663104.

The previous prime is 47087609. The next prime is 47087617. The reversal of 47087616 is 61678074.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (47087617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98065 + ... + 98543.

It is an arithmetic number, because the mean of its divisors is an integer number (1966050).

Almost surely, 247087616 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 47087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62913600).

47087616 is an abundant number, since it is smaller than the sum of its proper divisors (78739584).

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

47087616 is an frugal number, since it uses more digits than its factorization.

47087616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 47087616 is about 6862.0416786843. The cubic root of 47087616 is about 361.1067176814.

The spelling of 47087616 in words is "forty-seven million, eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 479 512 768 958 1024 1437 1536 1916 2048 2874 3072 3832 4096 5748 6144 7664 8192 11496 12288 15328 16384 22992 24576 30656 32768 45984 49152 61312 91968 98304 122624 183936 245248 367872 490496 735744 980992 1471488 1961984 2942976 3923968 5885952 7847936 11771904 15695872 23543808 47087616