49933664 has 48 divisors (see below), whose sum is σ = 109771200. Its totient is φ = 22162560.

The previous prime is 49933657. The next prime is 49933673. The reversal of 49933664 is 46633994.

It is a super-3 number, since 3×49933664³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13487 + ... + 16785.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 2^49933664 is an apocalyptic number.

49933664 is a gapful number since it is divisible by the number (44) 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 49933664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

49933664 is an abundant number, since it is smaller than the sum of its proper divisors (59837536).

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

49933664 is a wasteful number, since it uses less digits than its factorization.

49933664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3355 counting only the distinct ones).

The product of its digits is 419904, while the sum is 44.

The square root of 49933664 is about 7066.3755914896. The cubic root of 49933664 is about 368.2401551510.

The spelling of 49933664 in words is "forty-nine million, nine hundred thirty-three thousand, six hundred sixty-four".