47017152 has 336 divisors, whose sum is σ = 178490880. Its totient is φ = 11860992.

The previous prime is 47017147. The next prime is 47017163. The reversal of 47017152 is 25171074.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×47017152² = 4421225164382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044213 + ... + 2044235.

Almost surely, 2^47017152 is an apocalyptic number.

47017152 is a gapful number since it is divisible by the number (42) 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 47017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89245440).

47017152 is an abundant number, since it is smaller than the sum of its proper divisors (131473728).

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

47017152 is a wasteful number, since it uses less digits than its factorization.

47017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 47017152 is about 6856.9054244608. The cubic root of 47017152 is about 360.9265023804.

The spelling of 47017152 in words is "forty-seven million, seventeen thousand, one hundred fifty-two".