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495617096 = 2313113181233
BaseRepresentation
bin11101100010101…
…000010001001000
31021112120221211202
4131202220101020
52003334221341
6121102443332
715165450542
oct3542502110
91245527752
10495617096
11234843507
12119b93548
137b8ac170
1449b74692
152d79e79b
hex1d8a8448

495617096 has 64 divisors (see below), whose sum is σ = 1019556720. Its totient is φ = 224501760.

The previous prime is 495617093. The next prime is 495617107. The reversal of 495617096 is 690716594.

It can be written as a sum of positive squares in 8 ways, for example, as 26894596 + 468722500 = 5186^2 + 21650^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 495617096.

It is not an unprimeable number, because it can be changed into a prime (495617093) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2126996 + ... + 2127228.

Almost surely, 2495617096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495617096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509778360).

495617096 is an abundant number, since it is smaller than the sum of its proper divisors (523939624).

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

495617096 is a wasteful number, since it uses less digits than its factorization.

495617096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 495617096 is about 22262.4593430286. The cubic root of 495617096 is about 791.3745742647.

The spelling of 495617096 in words is "four hundred ninety-five million, six hundred seventeen thousand, ninety-six".

Divisors: 1 2 4 8 13 26 52 104 113 181 226 233 362 452 466 724 904 932 1448 1469 1864 2353 2938 3029 4706 5876 6058 9412 11752 12116 18824 20453 24232 26329 40906 42173 52658 81812 84346 105316 163624 168692 210632 265889 337384 342277 531778 548249 684554 1063556 1096498 1369108 2127112 2192996 2738216 4385992 4765549 9531098 19062196 38124392 61952137 123904274 247808548 495617096