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57387330 = 23257311132
BaseRepresentation
bin1101101011101…
…0100101000010
310222222120121200
43122322211002
5104142343310
65410002030
71264533000
oct332724502
9128876550
1057387330
112a436a50
1217276316
13bb73a00
14789ba70
1550889c0
hex36ba942

57387330 has 288 divisors, whose sum is σ = 205545600. Its totient is φ = 11007360.

The previous prime is 57387313. The next prime is 57387349. The reversal of 57387330 is 3378375.

57387330 is a `hidden beast` number, since 573 + 87 + 3 + 3 + 0 = 666.

57387330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 4414404 + ... + 4414416.

It is an arithmetic number, because the mean of its divisors is an integer number (713700).

Almost surely, 257387330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57387330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102772800).

57387330 is an abundant number, since it is smaller than the sum of its proper divisors (148158270).

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

57387330 is a wasteful number, since it uses less digits than its factorization.

57387330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 57387330 is about 7575.4425613293. The cubic root of 57387330 is about 385.7198652926.

The spelling of 57387330 in words is "fifty-seven million, three hundred eighty-seven thousand, three hundred thirty".