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553909122 = 232138926597
BaseRepresentation
bin100001000000111…
…111101110000010
31102121021111110200
4201000333232002
52113300042442
6130544110030
716504102254
oct4100775602
91377244420
10553909122
11264738138
12135605316
138a9ab8a0
14537c9cd4
153396634c
hex2103fb82

553909122 has 48 divisors (see below), whose sum is σ = 1307025720. Its totient is φ = 168512256.

The previous prime is 553909121. The next prime is 553909141. The reversal of 553909122 is 221909355.

It is a happy number.

553909122 is a `hidden beast` number, since 553 + 90 + 9 + 12 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 416527281 + 137381841 = 20409^2 + 11721^2 .

It is not an unprimeable number, because it can be changed into a prime (553909121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7528 + ... + 34124.

Almost surely, 2553909122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553909122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653512860).

553909122 is an abundant number, since it is smaller than the sum of its proper divisors (753116598).

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

553909122 is a wasteful number, since it uses less digits than its factorization.

553909122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26707 (or 26704 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 553909122 is about 23535.2739945810. The cubic root of 553909122 is about 821.2577970250.

The spelling of 553909122 in words is "five hundred fifty-three million, nine hundred nine thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1602 2314 3471 6942 10413 20826 26597 53194 79791 159582 239373 345761 478746 691522 1037283 2074566 2367133 3111849 4734266 6223698 7101399 14202798 21304197 30772729 42608394 61545458 92318187 184636374 276954561 553909122