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57993705 = 3357211797
BaseRepresentation
bin1101110100111…
…0100111101001
311001010101102000
43131032213221
5104321244310
65431001213
71302636600
oct335164751
9131111360
1057993705
112a810590
1217509209
13c026a03
1479b8a37
1551584c0
hex374e9e9

57993705 has 96 divisors (see below), whose sum is σ = 130999680. Its totient is φ = 24071040.

The previous prime is 57993703. The next prime is 57993739. The reversal of 57993705 is 50739975.

It is a happy number.

57993705 is a `hidden beast` number, since 579 + 9 + 3 + 70 + 5 = 666.

It is not a de Polignac number, because 57993705 - 21 = 57993703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57993703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72367 + ... + 73163.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 257993705 is an apocalyptic number.

57993705 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57993705 is an abundant number, since it is smaller than the sum of its proper divisors (73005975).

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

57993705 is a wasteful number, since it uses less digits than its factorization.

57993705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The square root of 57993705 is about 7615.3598076519. The cubic root of 57993705 is about 387.0736594363.

The spelling of 57993705 in words is "fifty-seven million, nine hundred ninety-three thousand, seven hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 385 441 495 539 693 735 797 945 1155 1323 1485 1617 2079 2205 2391 2695 3465 3985 4851 5579 6615 7173 8085 8767 10395 11955 14553 16737 21519 24255 26301 27895 35865 39053 43835 50211 61369 72765 78903 83685 107595 117159 131505 150633 184107 195265 236709 251055 306845 351477 394515 429583 552321 585795 753165 920535 1054431 1183545 1288749 1656963 1757385 2147915 2761605 3866247 5272155 6443745 8284815 11598741 19331235 57993705