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490574016 = 2633733889
BaseRepresentation
bin11101001111011…
…001000011000000
31021012002202001000
4131033121003000
52001041332031
6120402412000
715104544642
oct3517310300
91235082030
10490574016
11231a09579
12118361000
137a8348aa
1449220892
152d1053e6
hex1d3d90c0

490574016 has 112 divisors (see below), whose sum is σ = 1462328800. Its totient is φ = 161243136.

The previous prime is 490573997. The next prime is 490574033. The reversal of 490574016 is 610475094.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124200 + ... + 128088.

Almost surely, 2490574016 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 490574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731164400).

490574016 is an abundant number, since it is smaller than the sum of its proper divisors (971754784).

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

490574016 is a wasteful number, since it uses less digits than its factorization.

490574016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 490574016 is about 22148.9055260074. The cubic root of 490574016 is about 788.6812458456.

The spelling of 490574016 in words is "four hundred ninety million, five hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1314 1728 1752 1971 2336 2628 3504 3889 3942 4672 5256 7008 7778 7884 10512 11667 14016 15556 15768 21024 23334 31112 31536 35001 42048 46668 62224 63072 70002 93336 105003 124448 126144 140004 186672 210006 248896 280008 283897 373344 420012 560016 567794 746688 840024 851691 1120032 1135588 1680048 1703382 2240064 2271176 2555073 3360096 3406764 4542352 5110146 6720192 6813528 7665219 9084704 10220292 13627056 15330438 18169408 20440584 27254112 30660876 40881168 54508224 61321752 81762336 122643504 163524672 245287008 490574016