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272826401 is a prime number
BaseRepresentation
bin10000010000110…
…000000000100001
3201000101000110112
4100100300000201
51024320421101
643023341105
76521662151
oct2020600041
9630330415
10272826401
11130004571
1277451795
13446a5453
142833c761
1518e426bb
hex10430021

272826401 has 2 divisors, whose sum is σ = 272826402. Its totient is φ = 272826400.

The previous prime is 272826373. The next prime is 272826431. The reversal of 272826401 is 104628272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260854801 + 11971600 = 16151^2 + 3460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-272826401 is a prime.

It is a super-2 number, since 2×2728264012 = 148868490165225602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (272826431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136413200 + 136413201.

It is an arithmetic number, because the mean of its divisors is an integer number (136413201).

Almost surely, 2272826401 is an apocalyptic number.

It is an amenable number.

272826401 is a deficient number, since it is larger than the sum of its proper divisors (1).

272826401 is an equidigital number, since it uses as much as digits as its factorization.

272826401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 272826401 is about 16517.4574617282. The cubic root of 272826401 is about 648.5778778183.

The spelling of 272826401 in words is "two hundred seventy-two million, eight hundred twenty-six thousand, four hundred one".