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244078129 = 1729192
BaseRepresentation
bin11101000110001…
…01011000110001
3122000021110020201
432203011120301
5444441000004
640115235201
76022426021
oct1643053061
9560243221
10244078129
11115859569
12698a8b01
133b74b139
14245b7a81
15166646a4
hexe8c5631

244078129 has 9 divisors (see below), whose sum is σ = 259562667. Its totient is φ = 229470624.

The previous prime is 244078127. The next prime is 244078151. The reversal of 244078129 is 921870442.

The square root of 244078129 is 15623.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 190026225 + 54051904 = 13785^2 + 7352^2 .

It is not a de Polignac number, because 244078129 - 21 = 244078127 is a prime.

It is a super-2 number, since 2×2440781292 = 119148266112281282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (244078127) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 265132 + ... + 266050.

Almost surely, 2244078129 is an apocalyptic number.

244078129 is the 15623-rd square number.

244078129 is the 7812-nd centered octagonal number.

It is an amenable number.

244078129 is a deficient number, since it is larger than the sum of its proper divisors (15484538).

244078129 is an frugal number, since it uses more digits than its factorization.

244078129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The cubic root of 244078129 is about 624.9466655288.

The spelling of 244078129 in words is "two hundred forty-four million, seventy-eight thousand, one hundred twenty-nine".

Divisors: 1 17 289 919 15623 265591 844561 14357537 244078129