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500486144 = 2121959109
BaseRepresentation
bin11101110101001…
…101000000000000
31021212202022220212
4131311031000000
52011111024034
6121355053252
715255030164
oct3565150000
91255668825
10500486144
11237569714
1211b741228
137c8c5462
144a680ca4
152de122ce
hex1dd4d000

500486144 has 104 divisors (see below), whose sum is σ = 1081212000. Its totient is φ = 230916096.

The previous prime is 500486113. The next prime is 500486191. The reversal of 500486144 is 441684005.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 500486144.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4591562 + ... + 4591670.

Almost surely, 2500486144 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 500486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540606000).

500486144 is an abundant number, since it is smaller than the sum of its proper divisors (580725856).

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

500486144 is a wasteful number, since it uses less digits than its factorization.

500486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 500486144 is about 22371.5476442735. The cubic root of 500486144 is about 793.9576778259.

The spelling of 500486144 in words is "five hundred million, four hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 109 118 128 152 218 236 256 304 436 472 512 608 872 944 1024 1121 1216 1744 1888 2048 2071 2242 2432 3488 3776 4096 4142 4484 4864 6431 6976 7552 8284 8968 9728 12862 13952 15104 16568 17936 19456 25724 27904 30208 33136 35872 38912 51448 55808 60416 66272 71744 77824 102896 111616 120832 122189 132544 143488 205792 223232 241664 244378 265088 286976 411584 446464 488756 530176 573952 823168 977512 1060352 1147904 1646336 1955024 2120704 2295808 3292672 3910048 4241408 4591616 6585344 7820096 8482816 13170688 15640192 26341376 31280384 62560768 125121536 250243072 500486144