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42492258 = 23231271281
BaseRepresentation
bin1010001000011…
…0000101100010
32221221211102100
42202012011202
541334223013
64114431230
71024115064
oct242060542
987854370
1042492258
1121a93076
1212292516
138a5a063
145901734
153ae5473
hex2886162

42492258 has 48 divisors (see below), whose sum is σ = 95726592. Its totient is φ = 13608000.

The previous prime is 42492257. The next prime is 42492259. The reversal of 42492258 is 85229424.

42492258 is a `hidden beast` number, since 424 + 9 + 225 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (42492257) and next prime (42492259).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42492251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151078 + ... + 151358.

It is an arithmetic number, because the mean of its divisors is an integer number (1994304).

Almost surely, 242492258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42492258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47863296).

42492258 is an abundant number, since it is smaller than the sum of its proper divisors (53234334).

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

42492258 is a wasteful number, since it uses less digits than its factorization.

42492258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 588 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42492258 is about 6518.6085938642. The cubic root of 42492258 is about 348.9554106519.

The spelling of 42492258 in words is "forty-two million, four hundred ninety-two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 271 279 281 542 558 562 813 843 1626 1686 2439 2529 4878 5058 8401 8711 16802 17422 25203 26133 50406 52266 75609 76151 78399 151218 152302 156798 228453 456906 685359 1370718 2360681 4721362 7082043 14164086 21246129 42492258