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252330496 = 291124073
BaseRepresentation
bin11110000101001…
…00001000000000
3122120210201100221
433002210020000
51004044033441
641012152424
76152526265
oct1702441000
9576721327
10252330496
1111a485700
1270608714
134037a3b2
142572526c
15172448d1
hexf0a4200

252330496 has 60 divisors (see below), whose sum is σ = 554304366. Its totient is φ = 114667520.

The previous prime is 252330467. The next prime is 252330499. The reversal of 252330496 is 694033252.

It can be written as a sum of positive squares in only one way, i.e., 245360896 + 6969600 = 15664^2 + 2640^2 .

It is not an unprimeable number, because it can be changed into a prime (252330499) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59916 + ... + 63988.

Almost surely, 2252330496 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 252330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277152183).

252330496 is an abundant number, since it is smaller than the sum of its proper divisors (301973870).

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

252330496 is an equidigital number, since it uses as much as digits as its factorization.

252330496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 252330496 is about 15884.9141011212. The cubic root of 252330496 is about 631.9119676561.

The spelling of 252330496 in words is "two hundred fifty-two million, three hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1408 1936 2816 3872 4073 5632 7744 8146 15488 16292 30976 32584 44803 61952 65168 89606 130336 179212 260672 358424 492833 521344 716848 985666 1042688 1433696 1971332 2085376 2867392 3942664 5734784 7885328 11469568 15770656 22939136 31541312 63082624 126165248 252330496