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501381216 = 25327248701
BaseRepresentation
bin11101111000100…
…111100001100000
31021221102210201200
4131320213201200
52011323144331
6121430201200
715265445550
oct3570474140
91257383650
10501381216
11238020146
1211bab3200
137cb4999b
144a835160
152e03c5e6
hex1de27860

501381216 has 72 divisors (see below), whose sum is σ = 1629495504. Its totient is φ = 143251200.

The previous prime is 501381211. The next prime is 501381277. The reversal of 501381216 is 612183105.

501381216 is a `hidden beast` number, since 501 + 38 + 121 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 501381216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501381211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122335 + ... + 126366.

It is an arithmetic number, because the mean of its divisors is an integer number (22631882).

Almost surely, 2501381216 is an apocalyptic number.

501381216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

501381216 is an abundant number, since it is smaller than the sum of its proper divisors (1128114288).

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

501381216 is a wasteful number, since it uses less digits than its factorization.

501381216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248724 (or 248713 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 501381216 is about 22391.5434037049. The cubic root of 501381216 is about 794.4307019529.

The spelling of 501381216 in words is "five hundred one million, three hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 248701 497402 746103 994804 1492206 1740907 1989608 2238309 2984412 3481814 3979216 4476618 5222721 5968824 6963628 7958432 8953236 10445442 11937648 13927256 15668163 17906472 20890884 23875296 27854512 31336326 35812944 41781768 55709024 62672652 71625888 83563536 125345304 167127072 250690608 501381216