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242055296 = 277238593
BaseRepresentation
bin11100110110101…
…11100010000000
3121212110200102222
432123113202000
5443431232141
640004030212
75666302400
oct1633274200
9555420388
10242055296
111146a77aa
1269092368
133b1c04b2
142420c800
15163b514b
hexe6d7880

242055296 has 48 divisors (see below), whose sum is σ = 560963790. Its totient is φ = 103735296.

The previous prime is 242055271. The next prime is 242055323. The reversal of 242055296 is 692550242.

It can be written as a sum of positive squares in only one way, i.e., 188238400 + 53816896 = 13720^2 + 7336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13025 + ... + 25568.

Almost surely, 2242055296 is an apocalyptic number.

It is an amenable number.

242055296 is an abundant number, since it is smaller than the sum of its proper divisors (318908494).

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

242055296 is an equidigital number, since it uses as much as digits as its factorization.

242055296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38621 (or 38602 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 242055296 is about 15558.1263653436. The cubic root of 242055296 is about 623.2154285909.

The spelling of 242055296 in words is "two hundred forty-two million, fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 38593 77186 154372 270151 308744 540302 617488 1080604 1234976 1891057 2161208 2469952 3782114 4322416 4939904 7564228 8644832 15128456 17289664 30256912 34579328 60513824 121027648 242055296