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57398868 = 2234172613
BaseRepresentation
bin1101101011110…
…1011001010100
311000000011110000
43122331121110
5104143230433
65410131300
71264611432
oct332753124
9130004400
1057398868
112a44468a
1217280b30
13bb79037
1478a1d52
15508c113
hex36bd654

57398868 has 90 divisors (see below), whose sum is σ = 159657806. Its totient is φ = 17978112.

The previous prime is 57398843. The next prime is 57398881. The reversal of 57398868 is 86889375.

It is a happy number.

57398868 is a `hidden beast` number, since 573 + 9 + 8 + 8 + 68 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5817744 + 51581124 = 2412^2 + 7182^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 93330 + ... + 93942.

Almost surely, 257398868 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 57398868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79828903).

57398868 is an abundant number, since it is smaller than the sum of its proper divisors (102258938).

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

57398868 is a wasteful number, since it uses less digits than its factorization.

57398868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 635 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 57398868 is about 7576.2040627216. The cubic root of 57398868 is about 385.7457138413.

It can be divided in two parts, 573988 and 68, that added together give a triangular number (574056 = T1071).

The spelling of 57398868 in words is "fifty-seven million, three hundred ninety-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 613 867 918 1156 1226 1377 1734 1836 1839 2452 2601 2754 3468 3678 5202 5508 5517 7356 7803 10404 10421 11034 15606 16551 20842 22068 23409 31212 31263 33102 41684 46818 49653 62526 66204 93636 93789 99306 125052 177157 187578 198612 281367 354314 375156 531471 562734 708628 844101 1062942 1125468 1594413 1688202 2125884 3188826 3376404 4783239 6377652 9566478 14349717 19132956 28699434 57398868