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47492016 = 243112131737
BaseRepresentation
bin1011010100101…
…0101110110000
310022100211210120
42311022232300
544124221031
64413530240
71114450455
oct265125660
9108324716
1047492016
1124898500
1213aa3980
139aba9b0
14644382c
154281a96
hex2d4abb0

47492016 has 240 divisors, whose sum is σ = 157927392. Its totient is φ = 12165120.

The previous prime is 47491993. The next prime is 47492021. The reversal of 47492016 is 61029474.

It is a happy number.

47492016 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 (33).

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 47 ways as a sum of consecutive naturals, for example, 1283550 + ... + 1283586.

Almost surely, 247492016 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 47492016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78963696).

47492016 is an abundant number, since it is smaller than the sum of its proper divisors (110435376).

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

47492016 is a wasteful number, since it uses less digits than its factorization.

47492016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 47492016 is about 6891.4451314655. The cubic root of 47492016 is about 362.1375300312.

The spelling of 47492016 in words is "forty-seven million, four hundred ninety-two thousand, sixteen".