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57613314 = 23112931971
BaseRepresentation
bin1101101111000…
…1110000000010
311000102001121110
43123301300002
5104222111224
65414504150
71266463563
oct333616002
9130361543
1057613314
112a580810
1217365056
13bc22825
14791a16a
1550d0929
hex36f1c02

57613314 has 64 divisors (see below), whose sum is σ = 134369280. Its totient is φ = 16296000.

The previous prime is 57613313. The next prime is 57613327. The reversal of 57613314 is 41331675.

It is not an unprimeable number, because it can be changed into a prime (57613313) 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, 58849 + ... + 59819.

It is an arithmetic number, because the mean of its divisors is an integer number (2099520).

Almost surely, 257613314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57613314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67184640).

57613314 is an abundant number, since it is smaller than the sum of its proper divisors (76755966).

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

57613314 is a wasteful number, since it uses less digits than its factorization.

57613314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047.

The product of its digits is 7560, while the sum is 30.

The square root of 57613314 is about 7590.3434704893. The cubic root of 57613314 is about 386.2255073964.

Adding to 57613314 its reverse (41331675), we get a palindrome (98944989).

The spelling of 57613314 in words is "fifty-seven million, six hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 93 174 186 319 341 638 682 899 957 971 1023 1798 1914 1942 2046 2697 2913 5394 5826 9889 10681 19778 21362 28159 29667 30101 32043 56318 59334 60202 64086 84477 90303 168954 180606 309749 331111 619498 662222 872929 929247 993333 1745858 1858494 1986666 2618787 5237574 9602219 19204438 28806657 57613314