46657152 has 96 divisors (see below), whose sum is σ = 135928260. Its totient is φ = 15360000.

The previous prime is 46657151. The next prime is 46657159. The reversal of 46657152 is 25175664.

It is a happy number.

46657152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 16451136 = 5496^2 + 4056^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46657152² = 4353779665502208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46657151) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 116152 + ... + 116552.

Almost surely, 2^46657152 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 46657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67964130).

46657152 is an abundant number, since it is smaller than the sum of its proper divisors (89271108).

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

46657152 is a wasteful number, since it uses less digits than its factorization.

46657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 507 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 46657152 is about 6830.6040728474. The cubic root of 46657152 is about 360.0029629386.

The spelling of 46657152 in words is "forty-six million, six hundred fifty-seven thousand, one hundred fifty-two".