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42250032 = 24331117523
BaseRepresentation
bin1010000100101…
…0111100110000
32221111112011000
42201022330300
541304000112
64105322000
71022055636
oct241127460
987445130
1042250032
1121938090
1212196300
1389a3a26
14587b356
153a987dc
hex284af30

42250032 has 160 divisors (see below), whose sum is σ = 140348160. Its totient is φ = 12026880.

The previous prime is 42250031. The next prime is 42250051. The reversal of 42250032 is 23005224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42249987 and 42250014.

It is not an unprimeable number, because it can be changed into a prime (42250031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80523 + ... + 81045.

It is an arithmetic number, because the mean of its divisors is an integer number (877176).

Almost surely, 242250032 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 42250032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70174080).

42250032 is an abundant number, since it is smaller than the sum of its proper divisors (98098128).

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

42250032 is a wasteful number, since it uses less digits than its factorization.

42250032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42250032 is about 6500.0024615380. The cubic root of 42250032 is about 348.2910763256.

Adding to 42250032 its reverse (23005224), we get a palindrome (65255256).

The spelling of 42250032 in words is "forty-two million, two hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 523 528 561 594 612 748 792 816 918 1046 1122 1188 1224 1496 1569 1584 1683 1836 2092 2244 2376 2448 2992 3138 3366 3672 4184 4488 4707 4752 5049 5753 6276 6732 7344 8368 8891 8976 9414 10098 11506 12552 13464 14121 17259 17782 18828 20196 23012 25104 26673 26928 28242 34518 35564 37656 40392 46024 51777 53346 56484 69036 71128 75312 80019 80784 92048 97801 103554 106692 112968 138072 142256 155331 160038 195602 207108 213384 225936 240057 276144 293403 310662 320076 391204 414216 426768 480114 586806 621324 640152 782408 828432 880209 960228 1173612 1242648 1280304 1564816 1760418 1920456 2347224 2485296 2640627 3520836 3840912 4694448 5281254 7041672 10562508 14083344 21125016 42250032