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495685696 = 26114232
BaseRepresentation
bin11101100010111…
…001000001000000
31021112201102221111
4131202321001000
52003343420241
6121104133104
715166154542
oct3542710100
91245642844
10495685696
11234890000
1211a007194
137b90445c
1449b91692
152d7b4c81
hex1d8b9040

495685696 has 105 divisors (see below), whose sum is σ = 1131070255. Its totient is φ = 215515520.

The previous prime is 495685669. The next prime is 495685703. The reversal of 495685696 is 696586594.

The square root of 495685696 is 22264.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (13996800) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 495685696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21551541 + ... + 21551563.

Almost surely, 2495685696 is an apocalyptic number.

495685696 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

495685696 is the 22264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495685696

495685696 is an abundant number, since it is smaller than the sum of its proper divisors (635384559).

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

495685696 is an frugal number, since it uses more digits than its factorization.

495685696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 36 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 58.

The cubic root of 495685696 is about 791.4110848369.

The spelling of 495685696 in words is "four hundred ninety-five million, six hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 176 184 242 253 352 368 484 506 529 704 736 968 1012 1058 1331 1472 1936 2024 2116 2662 2783 3872 4048 4232 5324 5566 5819 7744 8096 8464 10648 11132 11638 14641 16192 16928 21296 22264 23276 29282 30613 33856 42592 44528 46552 58564 61226 64009 85184 89056 93104 117128 122452 128018 178112 186208 234256 244904 256036 336743 372416 468512 489808 512072 673486 704099 937024 979616 1024144 1346972 1408198 1959232 2048288 2693944 2816396 4096576 5387888 5632792 7745089 10775776 11265584 15490178 21551552 22531168 30980356 45062336 61960712 123921424 247842848 495685696