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242788860 = 22335449609
BaseRepresentation
bin11100111100010…
…10100111111100
3121220211221201000
432132022213330
5444123220420
640031450300
76005446146
oct1636124774
9556757630
10242788860
11115058956
1269386990
133b3b9362
142435dc96
15164ac690
hexe78a9fc

242788860 has 48 divisors (see below), whose sum is σ = 755344800. Its totient is φ = 64743552.

The previous prime is 242788837. The next prime is 242788873. The reversal of 242788860 is 68887242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 224265 + ... + 225344.

It is an arithmetic number, because the mean of its divisors is an integer number (15736350).

Almost surely, 2242788860 is an apocalyptic number.

242788860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242788860 is an abundant number, since it is smaller than the sum of its proper divisors (512555940).

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

242788860 is a wasteful number, since it uses less digits than its factorization.

242788860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449627 (or 449619 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 242788860 is about 15581.6834777247. The cubic root of 242788860 is about 623.8443583716.

The spelling of 242788860 in words is "two hundred forty-two million, seven hundred eighty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 449609 899218 1348827 1798436 2248045 2697654 4046481 4496090 5395308 6744135 8092962 8992180 12139443 13488270 16185924 20232405 24278886 26976540 40464810 48557772 60697215 80929620 121394430 242788860