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57482880 = 2735721347
BaseRepresentation
bin1101101101000…
…1111010000000
311000011102200120
43123101322000
5104203423010
65412020240
71265411400
oct333217200
9130142616
1057482880
112a4a1814
1217301680
13bba8350
1478c4800
1550a6e70
hex36d1e80

57482880 has 384 divisors, whose sum is σ = 234420480. Its totient is φ = 11870208.

The previous prime is 57482767. The next prime is 57482917. The reversal of 57482880 is 8828475.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1223017 + ... + 1223063.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 257482880 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 57482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

57482880 is an abundant number, since it is smaller than the sum of its proper divisors (176937600).

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

57482880 is a wasteful number, since it uses less digits than its factorization.

57482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 57482880 is about 7581.7465006422. The cubic root of 57482880 is about 385.9338213301.

The spelling of 57482880 in words is "fifty-seven million, four hundred eighty-two thousand, eight hundred eighty".