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252141252 = 223112173651
BaseRepresentation
bin11110000011101…
…01111011000100
3122120110002202220
433001311323010
51004022010002
641004132340
76151110456
oct1701657304
9576402686
10252141252
1111a366500
12705370b0
134031220c
14256b62d6
15172087bc
hexf075ec4

252141252 has 36 divisors (see below), whose sum is σ = 646680048. Its totient is φ = 76406000.

The previous prime is 252141251. The next prime is 252141257.

252141252 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (252141251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85374 + ... + 88277.

Almost surely, 2252141252 is an apocalyptic number.

252141252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252141252 is an abundant number, since it is smaller than the sum of its proper divisors (394538796).

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

252141252 is a wasteful number, since it uses less digits than its factorization.

252141252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173680 (or 173667 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 252141252 is about 15878.9562629286. The cubic root of 252141252 is about 631.7539533871.

The spelling of 252141252 in words is "two hundred fifty-two million, one hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 173651 347302 520953 694604 1041906 1910161 2083812 3820322 5730483 7640644 11460966 21011771 22921932 42023542 63035313 84047084 126070626 252141252