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350085527 = 11375961239
BaseRepresentation
bin10100110111011…
…110000110010111
3220101202012001122
4110313132012113
51204110214102
654423314155
711450451341
oct2467360627
9811665048
10350085527
1116a683490
12992ab95b
13576b60cc
14346d0291
1520b040a2
hex14dde197

350085527 has 32 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 298166400.

The previous prime is 350085499. The next prime is 350085551. The reversal of 350085527 is 725580053.

It is a cyclic number.

It is not a de Polignac number, because 350085527 - 220 = 349036951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350085557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464674 + ... + 1464912.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 2350085527 is an apocalyptic number.

350085527 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

350085527 is a deficient number, since it is larger than the sum of its proper divisors (57031273).

350085527 is a wasteful number, since it uses less digits than its factorization.

350085527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 350085527 is about 18710.5725994690. The cubic root of 350085527 is about 704.7872717998.

The spelling of 350085527 in words is "three hundred fifty million, eighty-five thousand, five hundred twenty-seven".

Divisors: 1 11 37 59 61 239 407 649 671 2183 2257 2629 3599 8843 14101 14579 24013 24827 39589 97273 133163 155111 160369 521737 539423 860161 1464793 5739107 5933653 9461771 31825957 350085527