49633506 has 64 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 14370048.

The previous prime is 49633499. The next prime is 49633513. The reversal of 49633506 is 60533694.

It is an interprime number because it is at equal distance from previous prime (49633499) and next prime (49633513).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9855 + ... + 14013.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^49633506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49633506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

49633506 is an abundant number, since it is smaller than the sum of its proper divisors (76164894).

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

49633506 is a wasteful number, since it uses less digits than its factorization.

49633506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 49633506 is about 7045.1051092230. The cubic root of 49633506 is about 367.5008246545.

The spelling of 49633506 in words is "forty-nine million, six hundred thirty-three thousand, five hundred six".