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242792768 = 2616692273
BaseRepresentation
bin11100111100010…
…11100101000000
3121220212011001202
432132023211000
5444123332033
640031520332
76005463431
oct1636134500
9556764052
10242792768
11115060889
12693890a8
133b3bb07a
1424361488
15164ad8e8
hexe78b940

242792768 has 28 divisors (see below), whose sum is σ = 482292660. Its totient is φ = 121270272.

The previous prime is 242792747. The next prime is 242792821. The reversal of 242792768 is 867297242.

It can be written as a sum of positive squares in 2 ways, for example, as 177635584 + 65157184 = 13328^2 + 8072^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 105680 + ... + 107952.

Almost surely, 2242792768 is an apocalyptic number.

It is an amenable number.

242792768 is a deficient number, since it is larger than the sum of its proper divisors (239499892).

242792768 is a wasteful number, since it uses less digits than its factorization.

242792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3944 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The square root of 242792768 is about 15581.8088808713. The cubic root of 242792768 is about 623.8477055469.

The spelling of 242792768 in words is "two hundred forty-two million, seven hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 1669 2273 3338 4546 6676 9092 13352 18184 26704 36368 53408 72736 106816 145472 3793637 7587274 15174548 30349096 60698192 121396384 242792768