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272650304 = 2619211801
BaseRepresentation
bin10000010000000…
…101000001000000
3201000001001220102
4100100011001000
51024244302204
643015501532
76520326563
oct2020050100
9630031812
10272650304
1112a9a4233
12773878a8
1344643254
14282d44da
1518e0a41e
hex10405040

272650304 has 42 divisors (see below), whose sum is σ = 571063374. Its totient is φ = 129139200.

The previous prime is 272650253. The next prime is 272650321. The reversal of 272650304 is 403056272.

It can be written as a sum of positive squares in only one way, i.e., 235683904 + 36966400 = 15352^2 + 6080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17204 + ... + 29004.

It is an arithmetic number, because the mean of its divisors is an integer number (13596747).

Almost surely, 2272650304 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 272650304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285531687).

272650304 is an abundant number, since it is smaller than the sum of its proper divisors (298413070).

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

272650304 is a wasteful number, since it uses less digits than its factorization.

272650304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11822 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 272650304 is about 16512.1259685117. The cubic root of 272650304 is about 648.4383053039.

The spelling of 272650304 in words is "two hundred seventy-two million, six hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5776 11552 11801 23104 23602 47204 94408 188816 224219 377632 448438 755264 896876 1793752 3587504 4260161 7175008 8520322 14350016 17040644 34081288 68162576 136325152 272650304