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57066975 = 32527191907
BaseRepresentation
bin1101100110110…
…0010111011111
310222101022011200
43121230113133
5104102120400
65355050543
71262030010
oct331542737
9128338150
1057066975
112a238299
1217140a53
13ba90c54
147817007
155023b00
hex366c5df

57066975 has 72 divisors (see below), whose sum is σ = 123027840. Its totient is φ = 24701760.

The previous prime is 57066973. The next prime is 57067007. The reversal of 57066975 is 57966075.

It is a happy number.

57066975 is a `hidden beast` number, since 570 + 6 + 6 + 9 + 75 = 666.

It is not a de Polignac number, because 57066975 - 21 = 57066973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 57066975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57066973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28972 + ... + 30878.

It is an arithmetic number, because the mean of its divisors is an integer number (1708720).

Almost surely, 257066975 is an apocalyptic number.

57066975 is an abundant number, since it is smaller than the sum of its proper divisors (65960865).

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

57066975 is a wasteful number, since it uses less digits than its factorization.

57066975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 57066975 is about 7554.2686608301. The cubic root of 57066975 is about 385.0007870901. Note that the first 3 decimals are identical.

The spelling of 57066975 in words is "fifty-seven million, sixty-six thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 399 475 525 665 855 1197 1425 1575 1907 1995 3325 4275 5721 5985 9535 9975 13349 17163 28605 29925 36233 40047 47675 66745 85815 108699 120141 143025 181165 200235 253631 326097 333725 429075 543495 600705 760893 905825 1001175 1268155 1630485 2282679 2717475 3003525 3804465 6340775 8152425 11413395 19022325 57066975