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57423168 = 2634111953
BaseRepresentation
bin1101101100001…
…1010101000000
311000001101210000
43123003111000
5104200020133
65410440000
71265042325
oct333032500
9130041700
1057423168
112a460970
1217293000
13bb8710a
1478aab4c
155094413
hex36c3540

57423168 has 280 divisors, whose sum is σ = 199156320. Its totient is φ = 16174080.

The previous prime is 57423133. The next prime is 57423173. The reversal of 57423168 is 86132475.

57423168 is a `hidden beast` number, since 574 + 23 + 1 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1083430 + ... + 1083482.

Almost surely, 257423168 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 57423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99578160).

57423168 is an abundant number, since it is smaller than the sum of its proper divisors (141733152).

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

57423168 is a wasteful number, since it uses less digits than its factorization.

57423168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 57423168 is about 7577.8075985076. The cubic root of 57423168 is about 385.8001417345.

The spelling of 57423168 in words is "fifty-seven million, four hundred twenty-three thousand, one hundred sixty-eight".