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42255360 = 2103257131
BaseRepresentation
bin1010000100110…
…0010000000000
32221111210110100
42201030100000
541304132420
64105402400
71022110320
oct241142000
987453410
1042255360
1121941094
1212199400
1389a6294
14587d280
153a9a190
hex284c400

42255360 has 264 divisors, whose sum is σ = 168607296. Its totient is φ = 9584640.

The previous prime is 42255329. The next prime is 42255427. The reversal of 42255360 is 6355224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322495 + ... + 322625.

It is an arithmetic number, because the mean of its divisors is an integer number (638664).

Almost surely, 242255360 is an apocalyptic number.

42255360 is a gapful number since it is divisible by the number (40) 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 42255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84303648).

42255360 is an abundant number, since it is smaller than the sum of its proper divisors (126351936).

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

42255360 is a wasteful number, since it uses less digits than its factorization.

42255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42255360 is about 6500.4122946164. The cubic root of 42255360 is about 348.3057162897.

The spelling of 42255360 in words is "forty-two million, two hundred fifty-five thousand, three hundred sixty".