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492849504 = 253271511619
BaseRepresentation
bin11101011000000…
…100100101100000
31021100101100102100
4131120010211200
52002132141004
6120523250400
715133103010
oct3530044540
91240340370
10492849504
11233223144
12119079a00
137b150534
1449653c40
152d404739
hex1d604960

492849504 has 144 divisors (see below), whose sum is σ = 1613364480. Its totient is φ = 139795200.

The previous prime is 492849503. The next prime is 492849517. The reversal of 492849504 is 405948294.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 492849504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492849503) 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 23 ways as a sum of consecutive naturals, for example, 303607 + ... + 305225.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2492849504 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 492849504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

492849504 is an abundant number, since it is smaller than the sum of its proper divisors (1120514976).

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

492849504 is a wasteful number, since it uses less digits than its factorization.

492849504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 492849504 is about 22200.2140530221. The cubic root of 492849504 is about 789.8987767546.

The spelling of 492849504 in words is "four hundred ninety-two million, eight hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 151 168 224 252 288 302 336 453 504 604 672 906 1008 1057 1208 1359 1619 1812 2016 2114 2416 2718 3171 3238 3624 4228 4832 4857 5436 6342 6476 7248 8456 9513 9714 10872 11333 12684 12952 14496 14571 16912 19026 19428 21744 22666 25368 25904 29142 33824 33999 38052 38856 43488 45332 50736 51808 58284 67998 76104 77712 90664 101472 101997 116568 135996 152208 155424 181328 203994 233136 244469 271992 304416 362656 407988 466272 488938 543984 733407 815976 977876 1087968 1466814 1631952 1711283 1955752 2200221 2933628 3263904 3422566 3911504 4400442 5133849 5867256 6845132 7823008 8800884 10267698 11734512 13690264 15401547 17601768 20535396 23469024 27380528 30803094 35203536 41070792 54761056 61606188 70407072 82141584 123212376 164283168 246424752 492849504