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242098992 = 24323745439
BaseRepresentation
bin11100110111000…
…10001100110000
3121212112220101100
432123202030300
5443434131432
640005004400
75666543652
oct1633421460
9555486340
10242098992
11114727613
12690b3700
133b207355
14242206d2
15163c307c
hexe6e2330

242098992 has 60 divisors (see below), whose sum is σ = 695868160. Its totient is φ = 78516864.

The previous prime is 242098981. The next prime is 242098999. The reversal of 242098992 is 299890242.

It is a super-2 number, since 2×2420989922 = 117223843854832128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242098999) 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 11 ways as a sum of consecutive naturals, for example, 17392 + ... + 28047.

Almost surely, 2242098992 is an apocalyptic number.

It is an amenable number.

242098992 is an abundant number, since it is smaller than the sum of its proper divisors (453769168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242098992 is a wasteful number, since it uses less digits than its factorization.

242098992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45490 (or 45481 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 242098992 is about 15559.5305841789. The cubic root of 242098992 is about 623.2529274370.

The spelling of 242098992 in words is "two hundred forty-two million, ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 45439 90878 136317 181756 272634 363512 408951 545268 727024 817902 1090536 1635804 1681243 2181072 3271608 3362486 5043729 6543216 6724972 10087458 13449944 15131187 20174916 26899888 30262374 40349832 60524748 80699664 121049496 242098992