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242729401 = 1272119081
BaseRepresentation
bin11100111011111…
…00000110111001
3121220201221010211
432131330012321
5444114320101
640030311121
76005110615
oct1635740671
9556657124
10242729401
11115018212
12693584a1
133b398285
1424346345
1516499c51
hexe77c1b9

242729401 has 4 divisors (see below), whose sum is σ = 242761204. Its totient is φ = 242697600.

The previous prime is 242729371. The next prime is 242729423. The reversal of 242729401 is 104927242.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 129413376 + 113316025 = 11376^2 + 10645^2 .

It is a 3-Lehmer number, since φ(242729401) divides (242729401-1)3.

It is a cyclic number.

It is not a de Polignac number, because 242729401 - 25 = 242729369 is a prime.

It is a deceptive number, since it divides R242729400.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242729701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3181 + ... + 22261.

It is an arithmetic number, because the mean of its divisors is an integer number (60690301).

It is a Poulet number, since it divides 2242729400-1.

Almost surely, 2242729401 is an apocalyptic number.

242729401 is the 12721-st pentagonal number.

It is an amenable number.

242729401 is a deficient number, since it is larger than the sum of its proper divisors (31803).

242729401 is a wasteful number, since it uses less digits than its factorization.

242729401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31802.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 242729401 is about 15579.7753834900. The cubic root of 242729401 is about 623.7934277122.

The spelling of 242729401 in words is "two hundred forty-two million, seven hundred twenty-nine thousand, four hundred one".

Divisors: 1 12721 19081 242729401