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57146472 = 2334293041
BaseRepresentation
bin1101100111111…
…1110001101000
310222112100020000
43121333301220
5104112141342
65400503000
71262510535
oct331776150
9128470200
1057146472
112a291a99
121717aa60
13babb1a6
147837d8c
15503c44c
hex367fc68

57146472 has 80 divisors (see below), whose sum is σ = 165636900. Its totient is φ = 18385920.

The previous prime is 57146461. The next prime is 57146489. The reversal of 57146472 is 27464175.

57146472 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 647 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51065316 + 6081156 = 7146^2 + 2466^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17272 + ... + 20312.

Almost surely, 257146472 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 57146472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82818450).

57146472 is an abundant number, since it is smaller than the sum of its proper divisors (108490428).

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

57146472 is a wasteful number, since it uses less digits than its factorization.

57146472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3075 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 57146472 is about 7559.5285567289. The cubic root of 57146472 is about 385.1794789196.

It can be divided in two parts, 571464 and 72, that added together give a square (571536 = 7562).

The spelling of 57146472 in words is "fifty-seven million, one hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3041 3132 4698 6082 6264 9123 9396 12164 18246 18792 24328 27369 36492 54738 72984 82107 88189 109476 164214 176378 218952 246321 264567 328428 352756 492642 529134 656856 705512 793701 985284 1058268 1587402 1970568 2116536 2381103 3174804 4762206 6349608 7143309 9524412 14286618 19048824 28573236 57146472