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57434850 = 232521141283
BaseRepresentation
bin1101101100011…
…0001011100010
311000001222210200
43123012023202
5104200403400
65411010030
71265121354
oct333061342
9130058720
1057434850
112a469720
1217299916
13bb8c525
1478b10d4
155097b00
hex36c62e2

57434850 has 144 divisors (see below), whose sum is σ = 173051424. Its totient is φ = 13536000.

The previous prime is 57434831. The next prime is 57434851. The reversal of 57434850 is 5843475.

57434850 is a `hidden beast` number, since 574 + 3 + 4 + 85 + 0 = 666.

57434850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57434851) 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 71 ways as a sum of consecutive naturals, for example, 202809 + ... + 203091.

It is an arithmetic number, because the mean of its divisors is an integer number (1201746).

Almost surely, 257434850 is an apocalyptic number.

57434850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57434850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86525712).

57434850 is an abundant number, since it is smaller than the sum of its proper divisors (115616574).

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

57434850 is a wasteful number, since it uses less digits than its factorization.

57434850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 57434850 is about 7578.5783627274. The cubic root of 57434850 is about 385.8263019750.

The spelling of 57434850 in words is "fifty-seven million, four hundred thirty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 41 45 50 55 66 75 82 90 99 110 123 150 165 198 205 225 246 275 283 330 369 410 450 451 495 550 566 615 738 825 849 902 990 1025 1230 1353 1415 1650 1698 1845 2050 2255 2475 2547 2706 2830 3075 3113 3690 4059 4245 4510 4950 5094 6150 6226 6765 7075 8118 8490 9225 9339 11275 11603 12735 13530 14150 15565 18450 18678 20295 21225 22550 23206 25470 28017 31130 33825 34809 40590 42450 46695 56034 58015 63675 67650 69618 77825 93390 101475 104427 116030 127350 127633 140085 155650 174045 202950 208854 233475 255266 280170 290075 348090 382899 466950 522135 580150 638165 700425 765798 870225 1044270 1148697 1276330 1400850 1740450 1914495 2297394 2610675 3190825 3828990 5221350 5743485 6381650 9572475 11486970 19144950 28717425 57434850