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57707104 = 25721319149
BaseRepresentation
bin1101110000100…
…0101001100000
311000120211021011
43130020221200
5104233111404
65420510304
71300334200
oct334105140
9130524234
1057707104
112a635224
12173ab394
13bc56420
147942400
1550ed604
hex3708a60

57707104 has 144 divisors (see below), whose sum is σ = 150822000. Its totient is φ = 21482496.

The previous prime is 57707093. The next prime is 57707119. The reversal of 57707104 is 40170775.

It is a super-6 number, since 6×577071046 (a number of 48 digits) contains 666666 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387222 + ... + 387370.

It is an arithmetic number, because the mean of its divisors is an integer number (1047375).

Almost surely, 257707104 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 57707104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75411000).

57707104 is an abundant number, since it is smaller than the sum of its proper divisors (93114896).

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

57707104 is a wasteful number, since it uses less digits than its factorization.

57707104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 57707104 is about 7596.5192028981. The cubic root of 57707104 is about 386.4349754800.

Adding to 57707104 its reverse (40170775), we get a palindrome (97877879).

The spelling of 57707104 in words is "fifty-seven million, seven hundred seven thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 76 91 98 104 112 133 149 152 182 196 208 224 247 266 298 304 364 392 416 494 532 596 608 637 728 784 931 988 1043 1064 1192 1274 1456 1568 1729 1862 1937 1976 2086 2128 2384 2548 2831 2912 3458 3724 3874 3952 4172 4256 4768 5096 5662 6916 7301 7448 7748 7904 8344 10192 11324 12103 13559 13832 14602 14896 15496 16688 19817 20384 22648 24206 27118 27664 29204 29792 30992 33376 36803 39634 45296 48412 54236 55328 58408 61984 73606 79268 90592 94913 96824 108472 116816 138719 147212 158536 189826 193648 216944 233632 257621 277438 294424 317072 379652 387296 433888 515242 554876 588848 634144 759304 1030484 1109752 1177696 1518608 1803347 2060968 2219504 3037216 3606694 4121936 4439008 7213388 8243872 14426776 28853552 57707104