49719936 has 128 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 13897728.

The previous prime is 49719919. The next prime is 49719947. The reversal of 49719936 is 63991794.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×49719936⁴ (a number of 32 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142290 + ... + 142638.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^49719936 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 49719936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

49719936 is an abundant number, since it is smaller than the sum of its proper divisors (104504064).

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

49719936 is a wasteful number, since it uses less digits than its factorization.

49719936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its digits is 367416, while the sum is 48.

The square root of 49719936 is about 7051.2364873120. The cubic root of 49719936 is about 367.7140185204.

The spelling of 49719936 in words is "forty-nine million, seven hundred nineteen thousand, nine hundred thirty-six".