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42259020 = 22355397137
BaseRepresentation
bin1010000100110…
…1001001001100
32221111222110220
42201031021030
541304242040
64105431340
71022124066
oct241151114
987458426
1042259020
1121943911
121219b550
1389a7b4b
145880736
153a9b2d0
hex284d24c

42259020 has 96 divisors (see below), whose sum is σ = 122689728. Its totient is φ = 10862592.

The previous prime is 42259013. The next prime is 42259037. The reversal of 42259020 is 2095224.

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, 308392 + ... + 308528.

It is an arithmetic number, because the mean of its divisors is an integer number (1278018).

Almost surely, 242259020 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 42259020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61344864).

42259020 is an abundant number, since it is smaller than the sum of its proper divisors (80430708).

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

42259020 is a wasteful number, since it uses less digits than its factorization.

42259020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42259020 is about 6500.6938091253. The cubic root of 42259020 is about 348.3157723087.

The spelling of 42259020 in words is "forty-two million, two hundred fifty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 97 106 137 159 194 212 265 274 291 318 388 411 485 530 548 582 636 685 795 822 970 1060 1164 1370 1455 1590 1644 1940 2055 2740 2910 3180 4110 5141 5820 7261 8220 10282 13289 14522 15423 20564 21783 25705 26578 29044 30846 36305 39867 43566 51410 53156 61692 66445 72610 77115 79734 87132 102820 108915 132890 145220 154230 159468 199335 217830 265780 308460 398670 435660 704317 797340 1408634 2112951 2817268 3521585 4225902 7043170 8451804 10564755 14086340 21129510 42259020