49077756 has 144 divisors (see below), whose sum is σ = 155570688. Its totient is φ = 12700800.

The previous prime is 49077737. The next prime is 49077811. The reversal of 49077756 is 65777094.

49077756 = T₉₈ + T₉₉ + ... + T₆₆₅.

It is a super-2 number, since 2×49077756² = 4817252267991072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232491 + ... + 232701.

It is an arithmetic number, because the mean of its divisors is an integer number (1080352).

Almost surely, 2^49077756 is an apocalyptic number.

49077756 is the 4431-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49077756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77785344).

49077756 is an abundant number, since it is smaller than the sum of its proper divisors (106492932).

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

49077756 is a wasteful number, since it uses less digits than its factorization.

49077756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 49077756 is about 7005.5517983953. The cubic root of 49077756 is about 366.1240285553.

The spelling of 49077756 in words is "forty-nine million, seventy-seven thousand, seven hundred fifty-six".