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379794825 = 3452372137
BaseRepresentation
bin10110101000110…
…011010110001001
3222110122120120000
4112220303112021
51234211413300
6101404153213
712261126354
oct2650632611
9873576500
10379794825
11185425523
12a7238809
13608b8987
143862529b
1523521c00
hex16a33589

379794825 has 90 divisors (see below), whose sum is σ = 728316666. Its totient is φ = 195644160.

The previous prime is 379794809. The next prime is 379794851. The reversal of 379794825 is 528497973.

It can be written as a sum of positive squares in 9 ways, for example, as 480249 + 379314576 = 693^2 + 19476^2 .

It is not a de Polignac number, because 379794825 - 24 = 379794809 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2772157 + ... + 2772293.

Almost surely, 2379794825 is an apocalyptic number.

It is an amenable number.

379794825 is a deficient number, since it is larger than the sum of its proper divisors (348521841).

379794825 is a wasteful number, since it uses less digits than its factorization.

379794825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 182 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 379794825 is about 19488.3253513482. The cubic root of 379794825 is about 724.1852599432.

It can be divided in two parts, 3797948 and 25, that added together give a palindrome (3797973).

The spelling of 379794825 in words is "three hundred seventy-nine million, seven hundred ninety-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 81 111 135 137 185 225 333 405 411 555 675 685 925 999 1233 1369 1665 2025 2055 2775 2997 3425 3699 4107 4995 5069 6165 6845 8325 10275 11097 12321 14985 15207 18495 20535 24975 25345 30825 34225 36963 45621 55485 61605 74925 76035 92475 102675 110889 126725 136863 184815 187553 228105 277425 308025 380175 410589 554445 562659 684315 924075 937765 1140525 1687977 2052945 2772225 2813295 3421575 4688825 5063931 8439885 10264725 14066475 15191793 25319655 42199425 75958965 126598275 379794825