Search a number
-
+
242309952 = 2632420677
BaseRepresentation
bin11100111000101…
…01101101000000
3121212221121202200
432130111231000
5444012404302
640013313200
76001413003
oct1634255500
9555847680
10242309952
11114861065
1269195800
133b27c391
142427753a
151641581c
hexe715b40

242309952 has 42 divisors (see below), whose sum is σ = 694539378. Its totient is φ = 80769792.

The previous prime is 242309941. The next prime is 242309987. The reversal of 242309952 is 259903242.

It can be written as a sum of positive squares in only one way, i.e., 217149696 + 25160256 = 14736^2 + 5016^2 .

It is a super-2 number, since 2×2423099522 = 117428225676484608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 209763 + ... + 210914.

Almost surely, 2242309952 is an apocalyptic number.

It is an amenable number.

242309952 is an abundant number, since it is smaller than the sum of its proper divisors (452229426).

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

242309952 is a wasteful number, since it uses less digits than its factorization.

242309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420695 (or 420682 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 242309952 is about 15566.3082328470. The cubic root of 242309952 is about 623.4339047374.

The spelling of 242309952 in words is "two hundred forty-two million, three hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 420677 841354 1262031 1682708 2524062 3365416 3786093 5048124 6730832 7572186 10096248 13461664 15144372 20192496 26923328 30288744 40384992 60577488 80769984 121154976 242309952