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395096625 = 32537114561
BaseRepresentation
bin10111100011001…
…011001000110001
31000112102222200100
4113203023020301
51302121043000
6103112143013
712535160130
oct2743131061
91015388610
10395096625
11193026a40
12b0397a69
1363b157b1
143a689917
1524a45a00
hex178cb231

395096625 has 96 divisors (see below), whose sum is σ = 888166656. Its totient is φ = 164160000.

The previous prime is 395096593. The next prime is 395096633. The reversal of 395096625 is 526690593.

It is not a de Polignac number, because 395096625 - 25 = 395096593 is a prime.

It is a super-2 number, since 2×3950966252 = 312202686172781250, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84345 + ... + 88905.

It is an arithmetic number, because the mean of its divisors is an integer number (9251736).

Almost surely, 2395096625 is an apocalyptic number.

395096625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

395096625 is an abundant number, since it is smaller than the sum of its proper divisors (493070031).

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

395096625 is a wasteful number, since it uses less digits than its factorization.

395096625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 395096625 is about 19877.0376313977. The cubic root of 395096625 is about 733.7832151139.

The spelling of 395096625 in words is "three hundred ninety-five million, ninety-six thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 125 165 175 225 231 275 315 375 385 495 525 693 825 875 1125 1155 1375 1575 1925 2475 2625 3465 4125 4561 5775 7875 9625 12375 13683 17325 22805 28875 31927 41049 50171 68415 86625 95781 114025 150513 159635 205245 250855 287343 342075 351197 451539 478905 570125 752565 798175 1026225 1053591 1254275 1436715 1710375 1755985 2257695 2394525 3160773 3762825 3990875 5131125 5267955 6271375 7183575 8779925 11288475 11972625 15803865 18814125 26339775 35917875 43899625 56442375 79019325 131698875 395096625