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42058260 = 223252310159
BaseRepresentation
bin1010000001110…
…0001000010100
32221010210002100
42200130020110
541231331020
64101242100
71020326556
oct240341024
987123070
1042058260
1121816aa2
1212103330
13893765a
14582b4d6
153a5ba90
hex281c214

42058260 has 72 divisors (see below), whose sum is σ = 133136640. Its totient is φ = 10726848.

The previous prime is 42058249. The next prime is 42058277. The reversal of 42058260 is 6285024.

42058260 is a `hidden beast` number, since 4 + 20 + 582 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940 + ... + 9219.

It is an arithmetic number, because the mean of its divisors is an integer number (1849120).

Almost surely, 242058260 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 42058260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

42058260 is an abundant number, since it is smaller than the sum of its proper divisors (91078380).

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

42058260 is a wasteful number, since it uses less digits than its factorization.

42058260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10197 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42058260 is about 6485.2339973204. The cubic root of 42058260 is about 347.7633150808.

The spelling of 42058260 in words is "forty-two million, fifty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 10159 20318 30477 40636 50795 60954 91431 101590 121908 152385 182862 203180 233657 304770 365724 457155 467314 609540 700971 914310 934628 1168285 1401942 1828620 2102913 2336570 2803884 3504855 4205826 4673140 7009710 8411652 10514565 14019420 21029130 42058260