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57149190 = 23257212959
BaseRepresentation
bin1101101000000…
…0011100000110
310222112110221200
43122000130012
5104112233230
65400523330
71262521500
oct332003406
9128473850
1057149190
112a29403a
1217180546
13babc4b7
147838d70
15503d160
hex3680706

57149190 has 72 divisors (see below), whose sum is σ = 172860480. Its totient is φ = 13061664.

The previous prime is 57149177. The next prime is 57149219. The reversal of 57149190 is 9194175.

It is a super-2 number, since 2×571491902 = 6532059835312200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2070 + ... + 10889.

It is an arithmetic number, because the mean of its divisors is an integer number (2400840).

Almost surely, 257149190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57149190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86430240).

57149190 is an abundant number, since it is smaller than the sum of its proper divisors (115711290).

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

57149190 is a wasteful number, since it uses less digits than its factorization.

57149190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12986 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 57149190 is about 7559.7083277068. The cubic root of 57149190 is about 385.1855854571.

The spelling of 57149190 in words is "fifty-seven million, one hundred forty-nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 12959 25918 38877 64795 77754 90713 116631 129590 181426 194385 233262 272139 388770 453565 544278 583155 634991 816417 907130 1166310 1269982 1360695 1632834 1904973 2721390 3174955 3809946 4082085 5714919 6349910 8164170 9524865 11429838 19049730 28574595 57149190