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42262308 = 2232111941137
BaseRepresentation
bin1010000100110…
…1111100100100
32221112010222200
42201031330210
541304343213
64105454500
71022136504
oct241157444
987463880
1042262308
1121946330
12121a1430
1389a94aa
145881a04
153a9c273
hex284df24

42262308 has 144 divisors (see below), whose sum is σ = 126584640. Its totient is φ = 11750400.

The previous prime is 42262307. The next prime is 42262361. The reversal of 42262308 is 80326224.

42262308 is a `hidden beast` number, since 422 + 6 + 230 + 8 = 666.

It is a super-2 number, since 2×422623082 = 3572205354973728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42262301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308416 + ... + 308552.

It is an arithmetic number, because the mean of its divisors is an integer number (879060).

Almost surely, 242262308 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 42262308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63292320).

42262308 is an abundant number, since it is smaller than the sum of its proper divisors (84322332).

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

42262308 is a wasteful number, since it uses less digits than its factorization.

42262308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42262308 is about 6500.9467002891. The cubic root of 42262308 is about 348.3248057455.

The spelling of 42262308 in words is "forty-two million, two hundred sixty-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 41 44 57 66 76 82 99 114 123 132 137 164 171 198 209 228 246 274 342 369 396 411 418 451 492 548 627 684 738 779 822 836 902 1233 1254 1353 1476 1507 1558 1644 1804 1881 2337 2466 2508 2603 2706 3014 3116 3762 4059 4521 4674 4932 5206 5412 5617 6028 7011 7524 7809 8118 8569 9042 9348 10412 11234 13563 14022 15618 16236 16851 17138 18084 22468 23427 25707 27126 28044 28633 31236 33702 34276 46854 50553 51414 54252 57266 61787 67404 77121 85899 93708 101106 102828 106723 114532 123574 154242 171798 185361 202212 213446 247148 257697 308484 320169 343596 370722 426892 515394 556083 640338 741444 960507 1030788 1112166 1173953 1280676 1921014 2224332 2347906 3521859 3842028 4695812 7043718 10565577 14087436 21131154 42262308