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57426408 = 23341317401
BaseRepresentation
bin1101101100010…
…0000111101000
311000001120020000
43123010013220
5104200121113
65410503000
71265054634
oct333040750
9130046200
1057426408
112a463346
1217294a60
13bb88730
1478abdc4
155095373
hex36c41e8

57426408 has 160 divisors (see below), whose sum is σ = 183866760. Its totient is φ = 16588800.

The previous prime is 57426403. The next prime is 57426419. The reversal of 57426408 is 80462475.

57426408 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 640 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56881764 + 544644 = 7542^2 + 738^2 .

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

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (57426403) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143008 + ... + 143408.

Almost surely, 257426408 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 57426408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91933380).

57426408 is an abundant number, since it is smaller than the sum of its proper divisors (126440352).

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

57426408 is a wasteful number, since it uses less digits than its factorization.

57426408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57426408 is about 7578.0213776421. The cubic root of 57426408 is about 385.8073976267.

The spelling of 57426408 in words is "fifty-seven million, four hundred twenty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 204 216 221 234 306 312 324 351 401 408 442 459 468 612 648 663 702 802 884 918 936 1053 1203 1224 1326 1377 1404 1604 1768 1836 1989 2106 2406 2652 2754 2808 3208 3609 3672 3978 4212 4812 5213 5304 5508 5967 6817 7218 7956 8424 9624 10426 10827 11016 11934 13634 14436 15639 15912 17901 20451 20852 21654 23868 27268 28872 31278 32481 35802 40902 41704 43308 46917 47736 54536 61353 62556 64962 71604 81804 86616 88621 93834 122706 125112 129924 140751 143208 163608 177242 184059 187668 245412 259848 265863 281502 354484 368118 375336 422253 490824 531726 552177 563004 708968 736236 797589 844506 1063452 1104354 1126008 1472472 1595178 1689012 2126904 2208708 2392767 3190356 3378024 4417416 4785534 6380712 7178301 9571068 14356602 19142136 28713204 57426408