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296050144 = 251334211
BaseRepresentation
bin10001101001010…
…101110111100000
3202122001220110011
4101221111313200
51101242101034
645213214304
710223245645
oct2151256740
9678056404
10296050144
11142126945
1283191394
1349447000
142b465dcc
151aecd864
hex11a55de0

296050144 has 48 divisors (see below), whose sum is σ = 631547280. Its totient is φ = 136606080.

The previous prime is 296050129. The next prime is 296050159. The reversal of 296050144 is 441050692.

296050144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (296050129) and next prime (296050159).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68199 + ... + 72409.

It is an arithmetic number, because the mean of its divisors is an integer number (13157235).

Almost surely, 2296050144 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 296050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315773640).

296050144 is an abundant number, since it is smaller than the sum of its proper divisors (335497136).

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

296050144 is an equidigital number, since it uses as much as digits as its factorization.

296050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 296050144 is about 17206.1077527720. The cubic root of 296050144 is about 666.4820012972.

The spelling of 296050144 in words is "two hundred ninety-six million, fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2197 2704 4211 4394 5408 8422 8788 16844 17576 33688 35152 54743 67376 70304 109486 134752 218972 437944 711659 875888 1423318 1751776 2846636 5693272 9251567 11386544 18503134 22773088 37006268 74012536 148025072 296050144