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242183907 = 32737107971
BaseRepresentation
bin11100110111101…
…10111011100011
3121212201012212100
432123312323203
5443444341112
640010501443
76000346350
oct1633667343
9555635770
10242183907
11114785399
1269134883
133b236bb4
1424243627
15163dd2dc
hexe6f6ee3

242183907 has 48 divisors (see below), whose sum is σ = 414865152. Its totient is φ = 133254720.

The previous prime is 242183891. The next prime is 242183923. The reversal of 242183907 is 709381242.

It is an interprime number because it is at equal distance from previous prime (242183891) and next prime (242183923).

It is not a de Polignac number, because 242183907 - 24 = 242183891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242183707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248932 + ... + 249902.

It is an arithmetic number, because the mean of its divisors is an integer number (8643024).

Almost surely, 2242183907 is an apocalyptic number.

242183907 is a deficient number, since it is larger than the sum of its proper divisors (172681245).

242183907 is a wasteful number, since it uses less digits than its factorization.

242183907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 242183907 is about 15562.2590583758. The cubic root of 242183907 is about 623.3257865260.

The spelling of 242183907 in words is "two hundred forty-two million, one hundred eighty-three thousand, nine hundred seven".

Divisors: 1 3 7 9 21 37 63 107 111 259 321 333 749 777 963 971 2247 2331 2913 3959 6741 6797 8739 11877 20391 27713 35631 35927 61173 83139 103897 107781 249417 251489 311691 323343 727279 754467 935073 2181837 2263401 3844189 6545511 11532567 26909323 34597701 80727969 242183907