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57053808 = 2434719331
BaseRepresentation
bin1101100110100…
…1001001110000
310222100122010000
43121221021300
5104101210213
65354510000
71261643430
oct331511160
9128318100
1057053808
112a229409
1217135300
13ba87c66
1478122c0
15501ec73
hex3669270

57053808 has 200 divisors, whose sum is σ = 199253120. Its totient is φ = 15396480.

The previous prime is 57053803. The next prime is 57053809. The reversal of 57053808 is 80835075.

It is a happy number.

57053808 is a `hidden beast` number, since 570 + 5 + 3 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57053803) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172203 + ... + 172533.

Almost surely, 257053808 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 57053808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99626560).

57053808 is an abundant number, since it is smaller than the sum of its proper divisors (142199312).

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

57053808 is a wasteful number, since it uses less digits than its factorization.

57053808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57053808 is about 7553.3971165298. The cubic root of 57053808 is about 384.9711745439.

The spelling of 57053808 in words is "fifty-seven million, fifty-three thousand, eight hundred eight".