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42244125 = 3537211219
BaseRepresentation
bin1010000100100…
…1100000011101
32221111020001020
42201021200131
541303303000
64105234353
71022032500
oct241114035
987436036
1042244125
1121933700
12121929b9
1389a1131
145879137
153a96ba0
hex284981d

42244125 has 144 divisors (see below), whose sum is σ = 94610880. Its totient is φ = 16632000.

The previous prime is 42244109. The next prime is 42244129. The reversal of 42244125 is 52144224.

It is a happy number.

It is not a de Polignac number, because 42244125 - 24 = 42244109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42244095 and 42244104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42244129) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2223366 + ... + 2223384.

It is an arithmetic number, because the mean of its divisors is an integer number (657020).

Almost surely, 242244125 is an apocalyptic number.

It is an amenable number.

42244125 is an abundant number, since it is smaller than the sum of its proper divisors (52366755).

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

42244125 is a wasteful number, since it uses less digits than its factorization.

42244125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 42244125 is about 6499.5480612116. The cubic root of 42244125 is about 348.2748439807.

Adding to 42244125 its reverse (52144224), we get a palindrome (94388349).

Subtracting 42244125 from its reverse (52144224), we obtain a palindrome (9900099).

The spelling of 42244125 in words is "forty-two million, two hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 15 19 21 25 33 35 49 55 57 75 77 95 105 121 125 133 147 165 175 209 231 245 275 285 363 375 385 399 475 525 539 605 627 665 735 825 847 875 931 1045 1155 1225 1375 1425 1463 1617 1815 1925 1995 2299 2375 2541 2625 2695 2793 3025 3135 3325 3675 4125 4235 4389 4655 5225 5775 5929 6125 6897 7125 7315 8085 9075 9625 9975 10241 11495 12705 13475 13965 15125 15675 16093 16625 17787 18375 21175 21945 23275 26125 28875 29645 30723 34485 36575 40425 45375 48279 49875 51205 57475 63525 67375 69825 78375 80465 88935 105875 109725 112651 116375 148225 153615 172425 182875 202125 241395 256025 287375 317625 337953 349125 402325 444675 548625 563255 741125 768075 862125 1206975 1280125 1689765 2011625 2223375 2816275 3840375 6034875 8448825 14081375 42244125