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57664404 = 22327239949
BaseRepresentation
bin1101101111111…
…0001110010100
311000111122200200
43123332032110
5104230230104
65415540500
71300065540
oct333761624
9130448620
1057664404
112a606136
121738a730
13bc3cb65
147930a20
1550e0b39
hex36fe394

57664404 has 72 divisors (see below), whose sum is σ = 173846400. Its totient is φ = 15757632.

The previous prime is 57664403. The next prime is 57664469. The reversal of 57664404 is 40446675.

57664404 is a `hidden beast` number, since 5 + 7 + 6 + 644 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57664403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822 + ... + 10770.

Almost surely, 257664404 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 57664404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86923200).

57664404 is an abundant number, since it is smaller than the sum of its proper divisors (116181996).

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

57664404 is a wasteful number, since it uses less digits than its factorization.

57664404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 57664404 is about 7593.7081850701. The cubic root of 57664404 is about 386.3396386043.

It can be divided in two parts, 576 and 64404, that added together give a triangular number (64980 = T360).

The spelling of 57664404 in words is "fifty-seven million, six hundred sixty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 9949 19898 29847 39796 59694 69643 89541 119388 139286 179082 208929 228827 278572 358164 417858 457654 626787 686481 835716 915308 1253574 1372962 1601789 2059443 2507148 2745924 3203578 4118886 4805367 6407156 8237772 9610734 14416101 19221468 28832202 57664404