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57147012 = 223313231101
BaseRepresentation
bin1101100111111…
…1111010000100
310222112100222000
43121333322010
5104112201022
65400505300
71262512236
oct331777204
9128470860
1057147012
112a29243a
121717b230
13babb500
147838256
15503c6ac
hex367fe84

57147012 has 144 divisors (see below), whose sum is σ = 167247360. Its totient is φ = 16848000.

The previous prime is 57147001. The next prime is 57147017. The reversal of 57147012 is 21074175.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57147017) 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, 565762 + ... + 565862.

It is an arithmetic number, because the mean of its divisors is an integer number (1161440).

Almost surely, 257147012 is an apocalyptic number.

57147012 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57147012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83623680).

57147012 is an abundant number, since it is smaller than the sum of its proper divisors (110100348).

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

57147012 is a wasteful number, since it uses less digits than its factorization.

57147012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 57147012 is about 7559.5642731575. The cubic root of 57147012 is about 385.1806921544.

The spelling of 57147012 in words is "fifty-seven million, one hundred forty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 101 108 117 124 156 169 186 202 234 279 303 338 351 372 403 404 468 507 558 606 676 702 806 837 909 1014 1116 1209 1212 1313 1404 1521 1612 1674 1818 2028 2418 2626 2727 3042 3131 3348 3627 3636 3939 4563 4836 5239 5252 5454 6084 6262 7254 7878 9126 9393 10478 10881 10908 11817 12524 14508 15717 15756 17069 18252 18786 20956 21762 23634 28179 31434 34138 35451 37572 40703 43524 47151 47268 51207 56358 62868 68276 70902 81406 84537 94302 102414 112716 122109 141453 141804 153621 162812 169074 188604 204828 244218 282906 307242 338148 366327 460863 488436 529139 565812 614484 732654 921726 1058278 1098981 1465308 1587417 1843452 2116556 2197962 3174834 4395924 4762251 6349668 9524502 14286753 19049004 28573506 57147012