57003296 has 48 divisors (see below), whose sum is σ = 132410880. Its totient is φ = 23639040.

The previous prime is 57003293. The next prime is 57003313. The reversal of 57003296 is 69230075.

57003296 = 1341² + 1342² + ... + 1371².

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57003293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2840 + ... + 11048.

It is an arithmetic number, because the mean of its divisors is an integer number (2758560).

Almost surely, 2^57003296 is an apocalyptic number.

57003296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57003296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66205440).

57003296 is an abundant number, since it is smaller than the sum of its proper divisors (75407584).

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

57003296 is a wasteful number, since it uses less digits than its factorization.

57003296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8257 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 57003296 is about 7550.0527150478. The cubic root of 57003296 is about 384.8575309144.

The spelling of 57003296 in words is "fifty-seven million, three thousand, two hundred ninety-six".