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57098900 = 225231113163
BaseRepresentation
bin1101100111010…
…0001010010100
310222102220222002
43121310022110
5104104131100
65355454432
71262222045
oct331641224
9128386862
1057098900
112a25a281
1217157418
13baa2641
1478248cc
15502d2d5
hex3674294

57098900 has 72 divisors (see below), whose sum is σ = 129825024. Its totient is φ = 21772800.

The previous prime is 57098893. The next prime is 57098947. The reversal of 57098900 is 989075.

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, 350219 + ... + 350381.

Almost surely, 257098900 is an apocalyptic number.

57098900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57098900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64912512).

57098900 is an abundant number, since it is smaller than the sum of its proper divisors (72726124).

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

57098900 is a wasteful number, since it uses less digits than its factorization.

57098900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 57098900 is about 7556.3814091138. The cubic root of 57098900 is about 385.0725674197.

The spelling of 57098900 in words is "fifty-seven million, ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 113 124 155 163 226 310 326 452 565 620 652 775 815 1130 1550 1630 2260 2825 3100 3260 3503 4075 5053 5650 7006 8150 10106 11300 14012 16300 17515 18419 20212 25265 35030 36838 50530 70060 73676 87575 92095 101060 126325 175150 184190 252650 350300 368380 460475 505300 570989 920950 1141978 1841900 2283956 2854945 5709890 11419780 14274725 28549450 57098900