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538663168 = 282937253
BaseRepresentation
bin100000000110110…
…101100100000000
31101112120220221201
4200012311210000
52100344210133
6125241230544
716230363361
oct4006654400
91345526851
10538663168
1125707467a
12130492454
13877a1304
145177bb68
1532453d7d
hex201b5900

538663168 has 108 divisors (see below), whose sum is σ = 1164742740. Its totient is φ = 248242176.

The previous prime is 538663141. The next prime is 538663171. The reversal of 538663168 is 861366835.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 162613504 + 376049664 = 12752^2 + 19392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10163430 + ... + 10163482.

It is an arithmetic number, because the mean of its divisors is an integer number (10784655).

Almost surely, 2538663168 is an apocalyptic number.

538663168 is a gapful number since it is divisible by the number (58) 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 538663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582371370).

538663168 is an abundant number, since it is smaller than the sum of its proper divisors (626079572).

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

538663168 is an equidigital number, since it uses as much as digits as its factorization.

538663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 121 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 538663168 is about 23209.1182081526. The cubic root of 538663168 is about 813.6527444425.

The spelling of 538663168 in words is "five hundred thirty-eight million, six hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 37 53 58 64 74 106 116 128 148 212 232 256 296 424 464 592 848 928 1073 1184 1369 1537 1696 1856 1961 2146 2368 2738 3074 3392 3712 3922 4292 4736 5476 6148 6784 7424 7844 8584 9472 10952 12296 13568 15688 17168 21904 24592 31376 34336 39701 43808 49184 56869 62752 68672 72557 79402 87616 98368 113738 125504 137344 145114 158804 175232 196736 227476 251008 274688 290228 317608 350464 393472 454952 502016 580456 635216 909904 1160912 1270432 1819808 2104153 2321824 2540864 3639616 4208306 4643648 5081728 7279232 8416612 9287296 10163456 14558464 16833224 18574592 33666448 67332896 134665792 269331584 538663168