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42445104 = 24313251271
BaseRepresentation
bin1010000111101…
…0100100110000
32221212102201220
42201322210300
541331220404
64113425040
71023530442
oct241724460
987772656
1042445104
1121a606a9
121226b180
138a41760
1458cc492
153ad64d9
hex287a930

42445104 has 80 divisors (see below), whose sum is σ = 118992384. Its totient is φ = 12960000.

The previous prime is 42445093. The next prime is 42445153. The reversal of 42445104 is 40154424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156489 + ... + 156759.

Almost surely, 242445104 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 42445104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496192).

42445104 is an abundant number, since it is smaller than the sum of its proper divisors (76547280).

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

42445104 is a wasteful number, since it uses less digits than its factorization.

42445104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

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

The square root of 42445104 is about 6514.9907137309. The cubic root of 42445104 is about 348.8262833349.

Adding to 42445104 its reverse (40154424), we get a palindrome (82599528).

The spelling of 42445104 in words is "forty-two million, four hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 251 271 312 502 542 624 753 813 1004 1084 1506 1626 2008 2168 3012 3252 3263 3523 4016 4336 6024 6504 6526 7046 9789 10569 12048 13008 13052 14092 19578 21138 26104 28184 39156 42276 52208 56368 68021 78312 84552 136042 156624 169104 204063 272084 408126 544168 816252 884273 1088336 1632504 1768546 2652819 3265008 3537092 5305638 7074184 10611276 14148368 21222552 42445104