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42258660 = 22351921951
BaseRepresentation
bin1010000100110…
…1000011100100
32221111221222120
42201031003210
541304234120
64105425540
71022123043
oct241150344
987457876
1042258660
1121943614
121219b2b0
1389a7932
14588055a
153a9b140
hex284d0e4

42258660 has 72 divisors (see below), whose sum is σ = 124943616. Its totient is φ = 10670400.

The previous prime is 42258647. The next prime is 42258661. The reversal of 42258660 is 6685224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42258661) 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, 20685 + ... + 22635.

It is an arithmetic number, because the mean of its divisors is an integer number (1735328).

Almost surely, 242258660 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 42258660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62471808).

42258660 is an abundant number, since it is smaller than the sum of its proper divisors (82684956).

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

42258660 is a wasteful number, since it uses less digits than its factorization.

42258660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 42258660 is about 6500.6661197142. Note that the first 3 decimals coincide. The cubic root of 42258660 is about 348.3147832178.

The spelling of 42258660 in words is "forty-two million, two hundred fifty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 1951 2166 3610 3902 4332 5415 5853 7220 7804 9755 10830 11706 19510 21660 23412 29265 37069 39020 58530 74138 111207 117060 148276 185345 222414 370690 444828 556035 704311 741380 1112070 1408622 2112933 2224140 2817244 3521555 4225866 7043110 8451732 10564665 14086220 21129330 42258660