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42241608 = 2333269727
BaseRepresentation
bin1010000100100…
…0111001001000
32221111002121000
42201020321020
541303212413
64105215000
71022022243
oct241107110
987432530
1042241608
1121931822
1212191460
13899cc46
14587825a
153a96073
hex2848e48

42241608 has 64 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 14008896.

The previous prime is 42241607. The next prime is 42241627. The reversal of 42241608 is 80614224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42241607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57741 + ... + 58467.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 242241608 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 42241608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

42241608 is an abundant number, since it is smaller than the sum of its proper divisors (75694392).

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

42241608 is a wasteful number, since it uses less digits than its factorization.

42241608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42241608 is about 6499.3544294799. The cubic root of 42241608 is about 348.2679268437.

It can be divided in two parts, 42241 and 608, that added together give a square (42849 = 2072).

The spelling of 42241608 in words is "forty-two million, two hundred forty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 269 538 727 807 1076 1454 1614 2152 2181 2421 2908 3228 4362 4842 5816 6456 6543 7263 8724 9684 13086 14526 17448 19368 19629 26172 29052 39258 52344 58104 78516 157032 195563 391126 586689 782252 1173378 1564504 1760067 2346756 3520134 4693512 5280201 7040268 10560402 14080536 21120804 42241608