Search a number
-
+
242502810 = 235113719861
BaseRepresentation
bin11100111010001…
…00110010011010
3121220022102022120
432131010302122
5444040042220
640021402110
76003145164
oct1635046232
9556272276
10242502810
11114982a50
1269269336
133b3190b4
14242c7934
1516452a40
hexe744c9a

242502810 has 64 divisors (see below), whose sum is σ = 652109184. Its totient is φ = 57196800.

The previous prime is 242502809. The next prime is 242502857. The reversal of 242502810 is 18205242.

242502810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2425028102 = 117615225715792200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2280 + ... + 22140.

It is an arithmetic number, because the mean of its divisors is an integer number (10189206).

Almost surely, 2242502810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242502810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326054592).

242502810 is an abundant number, since it is smaller than the sum of its proper divisors (409606374).

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

242502810 is a wasteful number, since it uses less digits than its factorization.

242502810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19919.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 242502810 is about 15572.5017257986. The cubic root of 242502810 is about 623.5992608999.

The spelling of 242502810 in words is "two hundred forty-two million, five hundred two thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 12210 19861 39722 59583 99305 119166 198610 218471 297915 436942 595830 655413 734857 1092355 1310826 1469714 2184710 2204571 3277065 3674285 4409142 6554130 7348570 8083427 11022855 16166854 22045710 24250281 40417135 48500562 80834270 121251405 242502810