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675002835 = 335131931653
BaseRepresentation
bin101000001110111…
…011100111010011
31202001010200211000
4220032323213103
52340300042320
6150551353043
722504300203
oct5016734723
91661120730
10675002835
11317026691
1216a082783
13a9ac9580
146590c403
153e3d5c90
hex283bb9d3

675002835 has 128 divisors (see below), whose sum is σ = 1406361600. Its totient is φ = 304197120.

The previous prime is 675002821. The next prime is 675002837. The reversal of 675002835 is 538200576.

It is not a de Polignac number, because 675002835 - 26 = 675002771 is a prime.

675002835 is a modest number, since divided by 2835 gives 675 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 675002835.

It is not an unprimeable number, because it can be changed into a prime (675002837) 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 127 ways as a sum of consecutive naturals, for example, 1033369 + ... + 1034021.

It is an arithmetic number, because the mean of its divisors is an integer number (10987200).

Almost surely, 2675002835 is an apocalyptic number.

675002835 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

675002835 is an abundant number, since it is smaller than the sum of its proper divisors (731358765).

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

675002835 is a wasteful number, since it uses less digits than its factorization.

675002835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 675002835 is about 25980.8166730763. The cubic root of 675002835 is about 877.2065495496.

The spelling of 675002835 in words is "six hundred seventy-five million, two thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 13 15 19 27 31 39 45 57 65 93 95 117 135 155 171 195 247 279 285 351 403 465 513 585 589 653 741 837 855 1209 1235 1395 1755 1767 1959 2015 2223 2565 2945 3265 3627 3705 4185 5301 5877 6045 6669 7657 8489 8835 9795 10881 11115 12407 15903 17631 18135 20243 22971 25467 26505 29385 33345 37221 38285 42445 54405 60729 62035 68913 76401 79515 88155 101215 111663 114855 127335 161291 182187 186105 206739 229203 263159 303645 334989 344565 382005 384617 483873 546561 558315 789477 806455 910935 1033695 1146015 1153851 1315795 1451619 1674945 1923085 2368431 2419365 2732805 3461553 3947385 4354857 5000021 5769255 7105293 7258095 10384659 11842155 15000063 17307765 21774285 25000105 35526465 45000189 51923295 75000315 135000567 225000945 675002835