46193952 has 96 divisors (see below), whose sum is σ = 141305472. Its totient is φ = 12939264.

The previous prime is 46193929. The next prime is 46193957. The reversal of 46193952 is 25939164.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46193952.

It is not an unprimeable number, because it can be changed into a prime (46193957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34968 + ... + 36264.

It is an arithmetic number, because the mean of its divisors is an integer number (1471932).

Almost surely, 2^46193952 is an apocalyptic number.

46193952 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 46193952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70652736).

46193952 is an abundant number, since it is smaller than the sum of its proper divisors (95111520).

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

46193952 is a wasteful number, since it uses less digits than its factorization.

46193952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 46193952 is about 6796.6132742712. The cubic root of 46193952 is about 358.8076602032.

The spelling of 46193952 in words is "forty-six million, one hundred ninety-three thousand, nine hundred fifty-two".