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42055056 = 2432192809
BaseRepresentation
bin1010000001101…
…1010110010000
32221010121200200
42200123112100
541231230211
64101215200
71020314331
oct240332620
987117620
1042055056
112181464a
1212101500
138936064
14582a288
153a5ab56
hex281b590

42055056 has 90 divisors (see below), whose sum is σ = 124369830. Its totient is φ = 13264128.

The previous prime is 42055033. The next prime is 42055099. The reversal of 42055056 is 65055024.

It can be written as a sum of positive squares in only one way, i.e., 40755456 + 1299600 = 6384^2 + 1140^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51580 + ... + 52388.

It is an arithmetic number, because the mean of its divisors is an integer number (1381887).

Almost surely, 242055056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42055056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62184915).

42055056 is an abundant number, since it is smaller than the sum of its proper divisors (82314774).

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

42055056 is a wasteful number, since it uses less digits than its factorization.

42055056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 42055056 is about 6484.9869699175. The cubic root of 42055056 is about 347.7544839819.

It can be divided in two parts, 4205 and 5056, that added together give a cube (9261 = 213).

The spelling of 42055056 in words is "forty-two million, fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 809 912 1083 1368 1444 1618 2166 2427 2736 2888 3236 3249 4332 4854 5776 6472 6498 7281 8664 9708 12944 12996 14562 15371 17328 19416 25992 29124 30742 38832 46113 51984 58248 61484 92226 116496 122968 138339 184452 245936 276678 292049 368904 553356 584098 737808 876147 1106712 1168196 1752294 2213424 2336392 2628441 3504588 4672784 5256882 7009176 10513764 14018352 21027528 42055056