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57066345 = 3257296247
BaseRepresentation
bin1101100110110…
…0001101101001
310222101021022100
43121230031221
5104102110340
65355044013
71262025120
oct331541551
9128337270
1057066345
112a237876
1217140609
13ba9088b
147816ab7
155023830
hex366c369

57066345 has 48 divisors (see below), whose sum is σ = 116962560. Its totient is φ = 25183872.

The previous prime is 57066337. The next prime is 57066349. The reversal of 57066345 is 54366075.

It is not a de Polignac number, because 57066345 - 23 = 57066337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57066349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6012 + ... + 12258.

It is an arithmetic number, because the mean of its divisors is an integer number (2436720).

Almost surely, 257066345 is an apocalyptic number.

It is an amenable number.

57066345 is an abundant number, since it is smaller than the sum of its proper divisors (59896215).

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

57066345 is a wasteful number, since it uses less digits than its factorization.

57066345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 57066345 is about 7554.2269624363. The cubic root of 57066345 is about 384.9993703256. Note that the first 3 decimals are identical.

The spelling of 57066345 in words is "fifty-seven million, sixty-six thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 6247 9135 18741 31235 43729 56223 93705 131187 181163 218645 281115 393561 543489 655935 905815 1268141 1630467 1967805 2717445 3804423 6340705 8152335 11413269 19022115 57066345