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47056896 = 211332337
BaseRepresentation
bin1011001110000…
…0100000000000
310021112201221000
42303200200000
544021310041
64400332000
71110656055
oct263404000
9107481830
1047056896
11246205a7
1213914000
139997923
14636d02c
1541e7bb6
hex2ce0800

47056896 has 192 divisors, whose sum is σ = 149385600. Its totient is φ = 14598144.

The previous prime is 47056843. The next prime is 47056927. The reversal of 47056896 is 69865074.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×470568962 = 4428702922309632, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1271790 + ... + 1271826.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 247056896 is an apocalyptic number.

47056896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

47056896 is an abundant number, since it is smaller than the sum of its proper divisors (102328704).

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

47056896 is a wasteful number, since it uses less digits than its factorization.

47056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 47056896 is about 6859.8029126207. The cubic root of 47056896 is about 361.0281718230.

The spelling of 47056896 in words is "forty-seven million, fifty-six thousand, eight hundred ninety-six".