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42125850 = 232521319379
BaseRepresentation
bin1010000010110…
…0101000011010
32221021012210200
42200230220122
541241011400
64102523030
71021030614
oct240545032
987235720
1042125850
1121862858
1212136476
13895c350
145847db4
153a71b00
hex282ca1a

42125850 has 144 divisors (see below), whose sum is σ = 128637600. Its totient is φ = 9797760.

The previous prime is 42125833. The next prime is 42125851. The reversal of 42125850 is 5852124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42125851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110961 + ... + 111339.

Almost surely, 242125850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42125850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318800).

42125850 is an abundant number, since it is smaller than the sum of its proper divisors (86511750).

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

42125850 is a wasteful number, since it uses less digits than its factorization.

42125850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 42125850 is about 6490.4429740966. The cubic root of 42125850 is about 347.9495071410.

Adding to 42125850 its reverse (5852124), we get a palindrome (47977974).

The spelling of 42125850 in words is "forty-two million, one hundred twenty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 25 26 30 38 39 45 50 57 65 75 78 90 95 114 117 130 150 171 190 195 225 234 247 285 325 342 379 390 450 475 494 570 585 650 741 758 855 950 975 1137 1170 1235 1425 1482 1710 1895 1950 2223 2274 2470 2850 2925 3411 3705 3790 4275 4446 4927 5685 5850 6175 6822 7201 7410 8550 9475 9854 11115 11370 12350 14402 14781 17055 18525 18950 21603 22230 24635 28425 29562 34110 36005 37050 43206 44343 49270 55575 56850 64809 72010 73905 85275 88686 93613 108015 111150 123175 129618 147810 170550 180025 187226 216030 221715 246350 280839 324045 360050 369525 443430 468065 540075 561678 648090 739050 842517 936130 1080150 1108575 1404195 1620225 1685034 2217150 2340325 2808390 3240450 4212585 4680650 7020975 8425170 14041950 21062925 42125850