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57048684 = 223711292129
BaseRepresentation
bin1101100110011…
…1111001101100
310222100101002020
43121213321230
5104101024214
65354430140
71261622460
oct331477154
9128311066
1057048684
112a225580
1217132350
13ba85824
1478104a0
15501d4a9
hex3667e6c

57048684 has 96 divisors (see below), whose sum is σ = 171763200. Its totient is φ = 14300160.

The previous prime is 57048679. The next prime is 57048689. The reversal of 57048684 is 48684075.

It is an interprime number because it is at equal distance from previous prime (57048679) and next prime (57048689).

It is a super-2 number, since 2×570486842 = 6509104692263712, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (57048689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25732 + ... + 27860.

It is an arithmetic number, because the mean of its divisors is an integer number (1789200).

Almost surely, 257048684 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 57048684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85881600).

57048684 is an abundant number, since it is smaller than the sum of its proper divisors (114714516).

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

57048684 is a wasteful number, since it uses less digits than its factorization.

57048684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 57048684 is about 7553.0579237816. The cubic root of 57048684 is about 384.9596494508.

The spelling of 57048684 in words is "fifty-seven million, forty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2129 2233 2436 3828 4258 4466 6387 6699 8516 8932 12774 13398 14903 23419 25548 26796 29806 44709 46838 59612 61741 70257 89418 93676 123482 140514 163933 178836 185223 246964 281028 327866 370446 432187 491799 655732 679151 740892 864374 983598 1296561 1358302 1728748 1967196 2037453 2593122 2716604 4074906 4754057 5186244 8149812 9508114 14262171 19016228 28524342 57048684