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252213949 = 1322938461
BaseRepresentation
bin11110000100001…
…11101010111101
3122120120210111101
433002013222331
51004031321244
641005453101
76151532431
oct1702075275
9576523441
10252213949
1111a406089
1270571191
1340339330
14256d49c1
15172200d4
hexf087abd

252213949 has 8 divisors (see below), whose sum is σ = 271765592. Its totient is φ = 232683840.

The previous prime is 252213947. The next prime is 252213991. The reversal of 252213949 is 949312252.

It can be written as a sum of positive squares in 4 ways, for example, as 18429849 + 233784100 = 4293^2 + 15290^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252213949 - 21 = 252213947 is a prime.

It is a super-2 number, since 2×2522139492 = 127223752140349202, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252213947) 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, 25579 + ... + 34039.

It is an arithmetic number, because the mean of its divisors is an integer number (33970699).

Almost surely, 2252213949 is an apocalyptic number.

It is an amenable number.

252213949 is a deficient number, since it is larger than the sum of its proper divisors (19551643).

252213949 is a wasteful number, since it uses less digits than its factorization.

252213949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10767.

The product of its digits is 38880, while the sum is 37.

The square root of 252213949 is about 15881.2451967722. The cubic root of 252213949 is about 631.8146630140.

It can be divided in two parts, 2522 and 13949, that added together give a triangular number (16471 = T181).

The spelling of 252213949 in words is "two hundred fifty-two million, two hundred thirteen thousand, nine hundred forty-nine".

Divisors: 1 13 2293 8461 29809 109993 19401073 252213949