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242892012 = 2231124092
BaseRepresentation
bin11100111101000…
…11110011101100
3121221001012012110
432132203303230
5444140021022
640034004020
76006355656
oct1636436354
9557035173
10242892012
11115119400
1269416610
133b4242ac
14243896d6
15164cd00c
hexe7a3cec

242892012 has 54 divisors (see below), whose sum is σ = 624481284. Its totient is φ = 73423680.

The previous prime is 242892007. The next prime is 242892047. The reversal of 242892012 is 210298242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 593664 + ... + 594072.

Almost surely, 2242892012 is an apocalyptic number.

242892012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242892012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312240642).

242892012 is an abundant number, since it is smaller than the sum of its proper divisors (381589272).

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

242892012 is a wasteful number, since it uses less digits than its factorization.

242892012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 242892012 is about 15584.9931665048. The cubic root of 242892012 is about 623.9326953213.

The spelling of 242892012 in words is "two hundred forty-two million, eight hundred ninety-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 409 484 726 818 1227 1452 1636 2454 4499 4908 8998 13497 17996 26994 49489 53988 98978 148467 167281 197956 296934 334562 501843 593868 669124 1003686 1840091 2007372 3680182 5520273 7360364 11040546 20241001 22081092 40482002 60723003 80964004 121446006 242892012