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57947442 = 23723223269
BaseRepresentation
bin1101110100001…
…1010100110010
311001001000221120
43131003110302
5104313304232
65430003110
71302354660
oct335032462
9131030846
1057947442
112a789853
12174a6496
13c00b937
1479a5c30
15514992c
hex3743532

57947442 has 64 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 15706944.

The previous prime is 57947399. The next prime is 57947443. The reversal of 57947442 is 24474975.

57947442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 57947394 and 57947403.

It is not an unprimeable number, because it can be changed into a prime (57947443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 215284 + ... + 215552.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 257947442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57947442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

57947442 is an abundant number, since it is smaller than the sum of its proper divisors (81398478).

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

57947442 is a wasteful number, since it uses less digits than its factorization.

57947442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its digits is 282240, while the sum is 42.

The square root of 57947442 is about 7612.3217220504. The cubic root of 57947442 is about 386.9707060066.

The spelling of 57947442 in words is "fifty-seven million, nine hundred forty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 223 269 322 446 483 538 669 807 966 1338 1561 1614 1883 3122 3766 4683 5129 5649 6187 9366 10258 11298 12374 15387 18561 30774 35903 37122 43309 59987 71806 86618 107709 119974 129927 179961 215418 259854 359922 419909 839818 1259727 1379701 2519454 2759402 4139103 8278206 9657907 19315814 28973721 57947442