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501104016 = 24337165709
BaseRepresentation
bin11101110111100…
…011110110010000
31021220220201111000
4131313203312100
52011240312031
6121420222000
715263212440
oct3567436620
91256821430
10501104016
11237950956
1211b99a900
137ca8076a
144a7a2120
152ded53e6
hex1dde3d90

501104016 has 80 divisors (see below), whose sum is σ = 1643843200. Its totient is φ = 143171712.

The previous prime is 501104003. The next prime is 501104017. The reversal of 501104016 is 610401105.

It is a super-2 number, since 2×5011040162 = 502210469702656512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 501104016.

It is not an unprimeable number, because it can be changed into a prime (501104017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79831 + ... + 85878.

It is an arithmetic number, because the mean of its divisors is an integer number (20548040).

Almost surely, 2501104016 is an apocalyptic number.

501104016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

501104016 is an abundant number, since it is smaller than the sum of its proper divisors (1142739184).

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

501104016 is a wasteful number, since it uses less digits than its factorization.

501104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165733 (or 165721 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 501104016 is about 22385.3527110921. The cubic root of 501104016 is about 794.2842686071.

The spelling of 501104016 in words is "five hundred one million, one hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 165709 331418 497127 662836 994254 1159963 1325672 1491381 1988508 2319926 2651344 2982762 3479889 3977016 4474143 4639852 5965524 6959778 7954032 8948286 9279704 10439667 11931048 13919556 17896572 18559408 20879334 23862096 27839112 31319001 35793144 41758668 55678224 62638002 71586288 83517336 125276004 167034672 250552008 501104016