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252546348 = 223231376679
BaseRepresentation
bin11110000110110…
…00110100101100
3122121012200110110
433003120310230
51004122440343
641020540020
76154415505
oct1703306454
9577180413
10252546348
1111a61289a
12706b1610
1340424712
142577dbac
1517288833
hexf0d8d2c

252546348 has 48 divisors (see below), whose sum is σ = 619476480. Its totient is φ = 79922304.

The previous prime is 252546337. The next prime is 252546377. The reversal of 252546348 is 843645252.

252546348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 34473 + ... + 41151.

It is an arithmetic number, because the mean of its divisors is an integer number (12905760).

Almost surely, 2252546348 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 252546348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309738240).

252546348 is an abundant number, since it is smaller than the sum of its proper divisors (366930132).

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

252546348 is a wasteful number, since it uses less digits than its factorization.

252546348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846 (or 6844 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 252546348 is about 15891.7068938488. The cubic root of 252546348 is about 632.0921025574.

The spelling of 252546348 in words is "two hundred fifty-two million, five hundred forty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 137 138 274 276 411 548 822 1644 3151 6302 6679 9453 12604 13358 18906 20037 26716 37812 40074 80148 153617 307234 460851 614468 915023 921702 1830046 1843404 2745069 3660092 5490138 10980276 21045529 42091058 63136587 84182116 126273174 252546348