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57346290 = 23254115541
BaseRepresentation
bin1101101011000…
…0100011110010
310222220111022200
43122300203302
5104140040130
65405044030
71264302231
oct332604362
9128814280
1057346290
112a409131
1217256616
13bb5b121
14788ab18
15507b760
hex36b08f2

57346290 has 48 divisors (see below), whose sum is σ = 152746776. Its totient is φ = 14918400.

The previous prime is 57346259. The next prime is 57346307. The reversal of 57346290 is 9264375.

57346290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39275289 + 18071001 = 6267^2 + 4251^2 .

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 4081 + ... + 11460.

Almost surely, 257346290 is an apocalyptic number.

57346290 is an abundant number, since it is smaller than the sum of its proper divisors (95400486).

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

57346290 is a wasteful number, since it uses less digits than its factorization.

57346290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15595 (or 15592 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57346290 is about 7572.7333242364. The cubic root of 57346290 is about 385.6278954082.

The spelling of 57346290 in words is "fifty-seven million, three hundred forty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 15541 31082 46623 77705 93246 139869 155410 233115 279738 466230 637181 699345 1274362 1398690 1911543 3185905 3823086 5734629 6371810 9557715 11469258 19115430 28673145 57346290