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57454644 = 223132367239
BaseRepresentation
bin1101101100101…
…1000000110100
311000002222221210
43123023000310
5104202022034
65411241420
71265233152
oct333130064
9130088853
1057454644
112a482585
12172a9270
13bb98540
1478b83d2
15509d8e9
hex36cb034

57454644 has 96 divisors (see below), whose sum is σ = 153538560. Its totient is φ = 16587648.

The previous prime is 57454627. The next prime is 57454669. The reversal of 57454644 is 44645475.

It is a super-2 number, since 2×574546442 = 6602072234333472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240277 + ... + 240515.

It is an arithmetic number, because the mean of its divisors is an integer number (1599360).

Almost surely, 257454644 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 57454644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

57454644 is an abundant number, since it is smaller than the sum of its proper divisors (96083916).

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

57454644 is a wasteful number, since it uses less digits than its factorization.

57454644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its digits is 268800, while the sum is 39.

The square root of 57454644 is about 7579.8841679804. The cubic root of 57454644 is about 385.8706198335.

The spelling of 57454644 in words is "fifty-seven million, four hundred fifty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 67 69 78 92 134 138 156 201 239 268 276 299 402 478 598 717 804 871 897 956 1196 1434 1541 1742 1794 2613 2868 3082 3107 3484 3588 4623 5226 5497 6164 6214 9246 9321 10452 10994 12428 16013 16491 18492 18642 20033 21988 32026 32982 37284 40066 48039 60099 64052 65964 71461 80132 96078 120198 142922 192156 208169 214383 240396 285844 368299 416338 428766 624507 736598 832676 857532 1104897 1249014 1473196 2209794 2498028 4419588 4787887 9575774 14363661 19151548 28727322 57454644