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57491896 = 23721167199
BaseRepresentation
bin1101101101010…
…0000110111000
311000011220001111
43123110012320
5104204220041
65412130104
71265446600
oct333240670
9130156044
1057491896
112a4a8570
1217306934
13bbac497
1478c7c00
1550a9981
hex36d41b8

57491896 has 96 divisors (see below), whose sum is σ = 139536000. Its totient is φ = 21954240.

The previous prime is 57491867. The next prime is 57491897. The reversal of 57491896 is 69819475.

57491896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57491897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288805 + ... + 289003.

It is an arithmetic number, because the mean of its divisors is an integer number (1453500).

Almost surely, 257491896 is an apocalyptic number.

57491896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

57491896 is the 4378-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57491896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768000).

57491896 is an abundant number, since it is smaller than the sum of its proper divisors (82044104).

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

57491896 is a wasteful number, since it uses less digits than its factorization.

57491896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its digits is 544320, while the sum is 49.

The square root of 57491896 is about 7582.3410632865. The cubic root of 57491896 is about 385.9539977573.

The spelling of 57491896 in words is "fifty-seven million, four hundred ninety-one thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 67 77 88 98 134 154 196 199 268 308 392 398 469 536 539 616 737 796 938 1078 1393 1474 1592 1876 2156 2189 2786 2948 3283 3752 4312 4378 5159 5572 5896 6566 8756 9751 10318 11144 13132 13333 15323 17512 19502 20636 26264 26666 30646 36113 39004 41272 53332 61292 72226 78008 93331 106664 107261 122584 144452 146663 186662 214522 288904 293326 373324 429044 586652 653317 746648 858088 1026641 1173304 1306634 2053282 2613268 4106564 5226536 7186487 8213128 14372974 28745948 57491896