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242535258 = 23273122003
BaseRepresentation
bin11100111010011…
…00101101011010
3121220101001211100
432131030231122
5444042112013
640022212230
76003341610
oct1635145532
9556331740
10242535258
111149a5369
1269284076
133b32aab4
14242d56b0
151645c473
hexe74cb5a

242535258 has 72 divisors (see below), whose sum is σ = 620871264. Its totient is φ = 67026960.

The previous prime is 242535229. The next prime is 242535281. The reversal of 242535258 is 852535242.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120085 + ... + 122087.

It is an arithmetic number, because the mean of its divisors is an integer number (8623212).

Almost surely, 2242535258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242535258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310435632).

242535258 is an abundant number, since it is smaller than the sum of its proper divisors (378336006).

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

242535258 is a wasteful number, since it uses less digits than its factorization.

242535258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2046 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 242535258 is about 15573.5435274057. The cubic root of 242535258 is about 623.6270731500.

The spelling of 242535258 in words is "two hundred forty-two million, five hundred thirty-five thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 961 1302 1922 1953 2003 2883 3906 4006 5766 6009 6727 8649 12018 13454 14021 17298 18027 20181 28042 36054 40362 42063 60543 62093 84126 121086 124186 126189 186279 252378 372558 434651 558837 869302 1117674 1303953 1924883 2607906 3849766 3911859 5774649 7823718 11549298 13474181 17323947 26948362 34647894 40422543 80845086 121267629 242535258