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57886272 = 2633139241
BaseRepresentation
bin1101110011010…
…0011001000000
311000220221001000
43130310121000
5104304330042
65424412000
71302011433
oct334643100
9130827030
1057886272
112a7478a4
1217477000
13bcb9b42
14798b81a
15513674c
hex3734640

57886272 has 112 divisors (see below), whose sum is σ = 172110400. Its totient is φ = 19077120.

The previous prime is 57886271. The next prime is 57886277. The reversal of 57886272 is 27268875.

57886272 is a `hidden beast` number, since 578 + 8 + 6 + 2 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (57886271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240072 + ... + 240312.

It is an arithmetic number, because the mean of its divisors is an integer number (1536700).

Almost surely, 257886272 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 57886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86055200).

57886272 is an abundant number, since it is smaller than the sum of its proper divisors (114224128).

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

57886272 is a wasteful number, since it uses less digits than its factorization.

57886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 57886272 is about 7608.3028330897. The cubic root of 57886272 is about 386.8344944600.

The spelling of 57886272 in words is "fifty-seven million, eight hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 139 144 192 216 241 278 288 417 432 482 556 576 723 834 864 964 1112 1251 1446 1668 1728 1928 2169 2224 2502 2892 3336 3753 3856 4338 4448 5004 5784 6507 6672 7506 7712 8676 8896 10008 11568 13014 13344 15012 15424 17352 20016 23136 26028 26688 30024 33499 34704 40032 46272 52056 60048 66998 69408 80064 100497 104112 120096 133996 138816 200994 208224 240192 267992 301491 401988 416448 535984 602982 803976 904473 1071968 1205964 1607952 1808946 2143936 2411928 3215904 3617892 4823856 6431808 7235784 9647712 14471568 19295424 28943136 57886272