47761296 has 120 divisors (see below), whose sum is σ = 143440224. Its totient is φ = 13578240.

The previous prime is 47761283. The next prime is 47761309. The reversal of 47761296 is 69216774.

It is an interprime number because it is at equal distance from previous prime (47761283) and next prime (47761309).

It is a super-2 number, since 2×47761296² = 4562282791199232, 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 23 ways as a sum of consecutive naturals, for example, 152436 + ... + 152748.

Almost surely, 2^47761296 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 47761296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71720112).

47761296 is an abundant number, since it is smaller than the sum of its proper divisors (95678928).

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

47761296 is a wasteful number, since it uses less digits than its factorization.

47761296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 47761296 is about 6910.9547820833. The cubic root of 47761296 is about 362.8206811129.

The spelling of 47761296 in words is "forty-seven million, seven hundred sixty-one thousand, two hundred ninety-six".