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242355961 = 1741463751
BaseRepresentation
bin11100111001000…
…00111011111001
3121220000221212201
432130200323321
5444020342321
640014310201
76001664101
oct1634407371
9556027781
10242355961
11114892691
12691b8361
133b2972c3
142428a201
1516424291
hexe720ef9

242355961 has 16 divisors (see below), whose sum is σ = 263789568. Its totient is φ = 221760000.

The previous prime is 242355943. The next prime is 242355977. The reversal of 242355961 is 169553242.

It is a 4-Lehmer number, since φ(242355961) divides (242355961-1)4.

It is a cyclic number.

It is not a de Polignac number, because 242355961 - 217 = 242224889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242355961.

It is not an unprimeable number, because it can be changed into a prime (242355161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322336 + ... + 323086.

It is an arithmetic number, because the mean of its divisors is an integer number (16486848).

Almost surely, 2242355961 is an apocalyptic number.

It is an amenable number.

242355961 is a deficient number, since it is larger than the sum of its proper divisors (21433607).

242355961 is a wasteful number, since it uses less digits than its factorization.

242355961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272.

The product of its digits is 64800, while the sum is 37.

The square root of 242355961 is about 15567.7860018694. The cubic root of 242355961 is about 623.4733607524.

The spelling of 242355961 in words is "two hundred forty-two million, three hundred fifty-five thousand, nine hundred sixty-one".

Divisors: 1 17 41 463 697 751 7871 12767 18983 30791 322711 347713 523447 5911121 14256233 242355961