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538765416 = 233278912011
BaseRepresentation
bin100000000111001…
…110100001101000
31101112210010012200
4200013032201220
52100410443131
6125243340200
716231300440
oct4007164150
91345703180
10538765416
11257134482
12130521660
1387808a07
14517a7120
15324742e6
hex201ce868

538765416 has 96 divisors (see below), whose sum is σ = 1686484800. Its totient is φ = 152190720.

The previous prime is 538765397. The next prime is 538765421. The reversal of 538765416 is 614567835.

538765416 is a `hidden beast` number, since 5 + 38 + 76 + 541 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 38851 + ... + 50861.

It is an arithmetic number, because the mean of its divisors is an integer number (17567550).

Almost surely, 2538765416 is an apocalyptic number.

538765416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538765416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843242400).

538765416 is an abundant number, since it is smaller than the sum of its proper divisors (1147719384).

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

538765416 is a wasteful number, since it uses less digits than its factorization.

538765416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12119 (or 12112 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 538765416 is about 23211.3208585811. The cubic root of 538765416 is about 813.7042231818.

The spelling of 538765416 in words is "five hundred thirty-eight million, seven hundred sixty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 89 126 168 178 252 267 356 504 534 623 712 801 1068 1246 1602 1869 2136 2492 3204 3738 4984 5607 6408 7476 11214 12011 14952 22428 24022 36033 44856 48044 72066 84077 96088 108099 144132 168154 216198 252231 288264 336308 432396 504462 672616 756693 864792 1008924 1068979 1513386 2017848 2137958 3026772 3206937 4275916 6053544 6413874 7482853 8551832 9620811 12827748 14965706 19241622 22448559 25655496 29931412 38483244 44897118 59862824 67345677 76966488 89794236 134691354 179588472 269382708 538765416