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242489592 = 23335691973
BaseRepresentation
bin11100111010000…
…01100011111000
3121220021202012000
432131001203320
5444034131332
640021221000
76003061512
oct1635014370
9556252160
10242489592
11114974024
1269261760
133b313087
14242c2bb2
151644db7c
hexe7418f8

242489592 has 64 divisors (see below), whose sum is σ = 675108000. Its totient is φ = 80646912.

The previous prime is 242489573. The next prime is 242489593. The reversal of 242489592 is 295984242.

242489592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242489593) 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, 121918 + ... + 123890.

Almost surely, 2242489592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242489592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337554000).

242489592 is an abundant number, since it is smaller than the sum of its proper divisors (432618408).

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

242489592 is a wasteful number, since it uses less digits than its factorization.

242489592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2547 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 242489592 is about 15572.0773180716. The cubic root of 242489592 is about 623.5879306053.

The spelling of 242489592 in words is "two hundred forty-two million, four hundred eighty-nine thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 569 1138 1707 1973 2276 3414 3946 4552 5121 5919 6828 7892 10242 11838 13656 15363 15784 17757 20484 23676 30726 35514 40968 47352 53271 61452 71028 106542 122904 142056 213084 426168 1122637 2245274 3367911 4490548 6735822 8981096 10103733 13471644 20207466 26943288 30311199 40414932 60622398 80829864 121244796 242489592