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242855658 = 2354311621
BaseRepresentation
bin11100111100110…
…10111011101010
3121220222100100000
432132122323222
5444132340113
640033123430
76006144663
oct1636327352
9556870300
10242855658
111150a4061
12693b9576
133b410896
142437a36a
15164c2373
hexe79aeea

242855658 has 48 divisors (see below), whose sum is σ = 558413856. Its totient is φ = 79062480.

The previous prime is 242855633. The next prime is 242855671. The reversal of 242855658 is 856558242.

It is a happy number.

242855658 is a `hidden beast` number, since 2 + 4 + 2 + 85 + 565 + 8 = 666.

It is a super-2 number, since 2×2428556582 = 117957741245225928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15088 + ... + 26708.

It is an arithmetic number, because the mean of its divisors is an integer number (11633622).

Almost surely, 2242855658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242855658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279206928).

242855658 is an abundant number, since it is smaller than the sum of its proper divisors (315558198).

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

242855658 is a wasteful number, since it uses less digits than its factorization.

242855658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681 (or 11669 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 242855658 is about 15583.8268085859. The cubic root of 242855658 is about 623.9015654641.

The spelling of 242855658 in words is "two hundred forty-two million, eight hundred fifty-five thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 774 1161 2322 3483 6966 10449 11621 20898 23242 34863 69726 104589 209178 313767 499703 627534 941301 999406 1499109 1882602 2823903 2998218 4497327 5647806 8994654 13491981 26983962 40475943 80951886 121427829 242855658