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42155256 = 233111371173
BaseRepresentation
bin1010000011001…
…1110011111000
32221022201010210
42200303303320
541242432011
64103311120
71021212423
oct240636370
987281123
1042155256
1121882960
121214b4a0
13896c850
1458549ba
153a7a6a6
hex2833cf8

42155256 has 128 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 11558400.

The previous prime is 42155249. The next prime is 42155273. The reversal of 42155256 is 65255124.

42155256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243586 + ... + 243758.

It is an arithmetic number, because the mean of its divisors is an integer number (986580).

Almost surely, 242155256 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 42155256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

42155256 is an abundant number, since it is smaller than the sum of its proper divisors (84126984).

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

42155256 is a wasteful number, since it uses less digits than its factorization.

42155256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 42155256 is about 6492.7079096476. The cubic root of 42155256 is about 348.0304504997.

The spelling of 42155256 in words is "forty-two million, one hundred fifty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 71 78 88 104 132 142 143 156 173 213 264 284 286 312 346 426 429 519 568 572 692 781 852 858 923 1038 1144 1384 1562 1704 1716 1846 1903 2076 2249 2343 2769 3124 3432 3692 3806 4152 4498 4686 5538 5709 6248 6747 7384 7612 8996 9372 10153 11076 11418 12283 13494 15224 17992 18744 20306 22152 22836 24566 24739 26988 30459 36849 40612 45672 49132 49478 53976 60918 73698 74217 81224 98264 98956 121836 135113 147396 148434 159679 197912 243672 270226 294792 296868 319358 405339 479037 540452 593736 638716 810678 958074 1080904 1277432 1621356 1756469 1916148 3242712 3512938 3832296 5269407 7025876 10538814 14051752 21077628 42155256