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42258580 = 225721331107
BaseRepresentation
bin1010000100110…
…1000010010100
32221111221212121
42201031002110
541304233310
64105425324
71022122600
oct241150224
987457777
1042258580
1121943551
121219b244
1389a78a0
145880500
153a9b0da
hex284d094

42258580 has 144 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 12821760.

The previous prime is 42258571. The next prime is 42258589. The reversal of 42258580 is 8585224.

It is an interprime number because it is at equal distance from previous prime (42258571) and next prime (42258589).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42258589) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394887 + ... + 394993.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 242258580 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 42258580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

42258580 is an abundant number, since it is smaller than the sum of its proper divisors (73572716).

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

42258580 is a wasteful number, since it uses less digits than its factorization.

42258580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 42258580 is about 6500.6599664957. The cubic root of 42258580 is about 348.3145634191.

The spelling of 42258580 in words is "forty-two million, two hundred fifty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 49 52 62 65 70 91 98 107 124 130 140 155 182 196 214 217 245 260 310 364 403 428 434 455 490 535 620 637 749 806 868 910 980 1070 1085 1274 1391 1498 1519 1612 1820 2015 2140 2170 2548 2782 2821 2996 3038 3185 3317 3745 4030 4340 5243 5564 5642 6076 6370 6634 6955 7490 7595 8060 9737 10486 11284 12740 13268 13910 14105 14980 15190 16585 19474 19747 20972 23219 26215 27820 28210 30380 33170 38948 39494 43121 46438 48685 52430 56420 66340 68159 78988 86242 92876 97370 98735 104860 116095 136318 162533 172484 194740 197470 215605 232190 272636 301847 325066 340795 394940 431210 464380 603694 650132 681590 812665 862420 1207388 1363180 1509235 1625330 2112929 3018470 3250660 4225858 6036940 8451716 10564645 21129290 42258580