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42501060 = 22325789379
BaseRepresentation
bin1010001000100…
…0001111000100
32221222021111100
42202020033010
541340013220
64114540100
71024152540
oct242101704
987867440
1042501060
1121a99748
1212297630
138a61074
145904a20
153ae7d90
hex28883c4

42501060 has 144 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 9580032.

The previous prime is 42501059. The next prime is 42501061. The reversal of 42501060 is 6010524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42501059) and next prime (42501061).

It is a super-2 number, since 2×425010602 = 3612680202247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42501061) 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, 111951 + ... + 112329.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 242501060 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 42501060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

42501060 is an abundant number, since it is smaller than the sum of its proper divisors (106884540).

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

42501060 is a wasteful number, since it uses less digits than its factorization.

42501060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42501060 is about 6519.2837029846. The cubic root of 42501060 is about 348.9795036170.

Adding to 42501060 its reverse (6010524), we get a palindrome (48511584).

The spelling of 42501060 in words is "forty-two million, five hundred one thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 379 420 445 534 623 630 758 801 890 1068 1137 1246 1260 1335 1516 1602 1780 1869 1895 2274 2492 2653 2670 3115 3204 3411 3738 3790 4005 4548 5306 5340 5607 5685 6230 6822 7476 7580 7959 8010 9345 10612 11214 11370 12460 13265 13644 15918 16020 17055 18690 22428 22740 23877 26530 28035 31836 33731 34110 37380 39795 47754 53060 56070 67462 68220 79590 95508 101193 112140 119385 134924 159180 168655 202386 236117 238770 303579 337310 404772 472234 477540 505965 607158 674620 708351 944468 1011930 1180585 1214316 1416702 1517895 2023860 2125053 2361170 2833404 3035790 3541755 4250106 4722340 6071580 7083510 8500212 10625265 14167020 21250530 42501060