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355116252 = 223294124889
BaseRepresentation
bin10101001010101…
…010010011011100
3220202012202220210
4111022222103130
51211402210002
655123212420
711541303231
oct2512522334
9822182823
10355116252
111724aa107
129ab17110
1358757b7a
143523d788
152129996c
hex152aa4dc

355116252 has 48 divisors (see below), whose sum is σ = 878119200. Its totient is φ = 111498240.

The previous prime is 355116239. The next prime is 355116263. The reversal of 355116252 is 252611553.

It is a happy number.

It is a super-2 number, since 2×3551162522 = 252215104869055008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1824 + ... + 26712.

It is an arithmetic number, because the mean of its divisors is an integer number (18294150).

Almost surely, 2355116252 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 355116252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439059600).

355116252 is an abundant number, since it is smaller than the sum of its proper divisors (523002948).

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

355116252 is a wasteful number, since it uses less digits than its factorization.

355116252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24966 (or 24964 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 355116252 is about 18844.5284366577. The cubic root of 355116252 is about 708.1471573203.

The spelling of 355116252 in words is "three hundred fifty-five million, one hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 2378 3567 4756 7134 14268 24889 49778 74667 99556 149334 298668 721781 1020449 1443562 2040898 2165343 2887124 3061347 4081796 4330686 6122694 8661372 12245388 29593021 59186042 88779063 118372084 177558126 355116252