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296268928 = 271728009
BaseRepresentation
bin10001101010001…
…011010010000000
3202122111000120021
4101222023102000
51101321101203
645222023224
710225146544
oct2152132200
9678430507
10296268928
1114226625a
1283277b14
13494c2777
142b4c1a24
151b0235bd
hex11a8b480

296268928 has 48 divisors (see below), whose sum is σ = 627062850. Its totient is φ = 139403264.

The previous prime is 296268899. The next prime is 296268961. The reversal of 296268928 is 829862692.

296268928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 296115264 + 153664 = 17208^2 + 392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32988 + ... + 40996.

Almost surely, 2296268928 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 296268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313531425).

296268928 is an abundant number, since it is smaller than the sum of its proper divisors (330793922).

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

296268928 is an equidigital number, since it uses as much as digits as its factorization.

296268928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8057 (or 8028 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The square root of 296268928 is about 17212.4643209507. The cubic root of 296268928 is about 666.6461398124.

The spelling of 296268928 in words is "two hundred ninety-six million, two hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 2176 2312 4624 8009 9248 16018 18496 32036 36992 64072 128144 136153 256288 272306 512576 544612 1025152 1089224 2178448 2314601 4356896 4629202 8713792 9258404 17427584 18516808 37033616 74067232 148134464 296268928