58147296 has 96 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 18063360.

The previous prime is 58147279. The next prime is 58147337. The reversal of 58147296 is 69274185.

58147296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×58147296² = 6762216064223232, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129280 + ... + 129728.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^58147296 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 58147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

58147296 is an abundant number, since it is smaller than the sum of its proper divisors (105148704).

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

58147296 is a wasteful number, since it uses less digits than its factorization.

58147296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 58147296 is about 7625.4374300757. The cubic root of 58147296 is about 387.4150678931.

The spelling of 58147296 in words is "fifty-eight million, one hundred forty-seven thousand, two hundred ninety-six".