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42262860 = 223529107227
BaseRepresentation
bin1010000100111…
…0000101001100
32221112011202010
42201032011030
541304402420
64105501220
71022141223
oct241160514
987464663
1042262860
1121946792
12121a1810
1389a9813
145881cba
153a9c4e0
hex284e14c

42262860 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 10732288.

The previous prime is 42262849. The next prime is 42262873. The reversal of 42262860 is 6826224.

It is a super-3 number, since 3×422628603 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186067 + ... + 186293.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 242262860 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 42262860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

42262860 is an abundant number, since it is smaller than the sum of its proper divisors (81842100).

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

42262860 is a wasteful number, since it uses less digits than its factorization.

42262860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 42262860 is about 6500.9891555055. The cubic root of 42262860 is about 348.3263222620.

The spelling of 42262860 in words is "forty-two million, two hundred sixty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 107 116 145 174 214 227 290 321 348 428 435 454 535 580 642 681 870 908 1070 1135 1284 1362 1605 1740 2140 2270 2724 3103 3210 3405 4540 6206 6420 6583 6810 9309 12412 13166 13620 15515 18618 19749 24289 26332 31030 32915 37236 39498 46545 48578 62060 65830 72867 78996 93090 97156 98745 121445 131660 145734 186180 197490 242890 291468 364335 394980 485780 704381 728670 1408762 1457340 2113143 2817524 3521905 4226286 7043810 8452572 10565715 14087620 21131430 42262860