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242084952 = 233231108461
BaseRepresentation
bin11100110110111…
…10110001011000
3121212112012010100
432123132301120
5443433204302
640004415400
75666455014
oct1633366130
9555465110
10242084952
1111471800a
12690a7560
133b200b45
1424219544
15163bdd1c
hexe6dec58

242084952 has 48 divisors (see below), whose sum is σ = 676802880. Its totient is φ = 78091200.

The previous prime is 242084939. The next prime is 242084957. The reversal of 242084952 is 259480242.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242084957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51999 + ... + 56462.

It is an arithmetic number, because the mean of its divisors is an integer number (14100060).

Almost surely, 2242084952 is an apocalyptic number.

It is an amenable number.

242084952 is an abundant number, since it is smaller than the sum of its proper divisors (434717928).

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

242084952 is a wasteful number, since it uses less digits than its factorization.

242084952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108504 (or 108497 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 242084952 is about 15559.0794072143. The cubic root of 242084952 is about 623.2408791420.

The spelling of 242084952 in words is "two hundred forty-two million, eighty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 108461 216922 325383 433844 650766 867688 976149 1301532 1952298 2603064 3362291 3904596 6724582 7809192 10086873 13449164 20173746 26898328 30260619 40347492 60521238 80694984 121042476 242084952