49629312 has 96 divisors (see below), whose sum is σ = 145170480. Its totient is φ = 16270848.

The previous prime is 49629289. The next prime is 49629323. The reversal of 49629312 is 21392694.

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

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76863 + ... + 77505.

Almost surely, 2^49629312 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 49629312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72585240).

49629312 is an abundant number, since it is smaller than the sum of its proper divisors (95541168).

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

49629312 is a wasteful number, since it uses less digits than its factorization.

49629312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 715 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 49629312 is about 7044.8074494623. The cubic root of 49629312 is about 367.4904731669.

The spelling of 49629312 in words is "forty-nine million, six hundred twenty-nine thousand, three hundred twelve".