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252141032 = 231113220403
BaseRepresentation
bin11110000011101…
…01110111101000
3122120110002110202
433001311313220
51004022003112
641004131332
76151110023
oct1701656750
9576402422
10252141032
1111a366320
1270536b48
13403120a0
14256b61ba
15172086c2
hexf075de8

252141032 has 32 divisors (see below), whose sum is σ = 555418080. Its totient is φ = 105792960.

The previous prime is 252141023. The next prime is 252141037. The reversal of 252141032 is 230141252.

252141032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×2521410325 (a number of 43 digits) contains 55555 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 252140995 and 252141013.

It is not an unprimeable number, because it can be changed into a prime (252141037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109058 + ... + 111345.

It is an arithmetic number, because the mean of its divisors is an integer number (17356815).

Almost surely, 2252141032 is an apocalyptic number.

252141032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252141032 is an abundant number, since it is smaller than the sum of its proper divisors (303277048).

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

252141032 is a wasteful number, since it uses less digits than its factorization.

252141032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220433 (or 220429 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 252141032 is about 15878.9493355197. The cubic root of 252141032 is about 631.7537696463.

Adding to 252141032 its reverse (230141252), we get a palindrome (482282284).

The spelling of 252141032 in words is "two hundred fifty-two million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 220403 440806 881612 1763224 2424433 2865239 4848866 5730478 9697732 11460956 19395464 22921912 31517629 63035258 126070516 252141032