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42241626 = 23272471019
BaseRepresentation
bin1010000100100…
…0111001011010
32221111002121200
42201020321122
541303213001
64105215030
71022022300
oct241107132
987432550
1042241626
1121931839
1212191476
13899cc5b
145878270
153a96086
hex2848e5a

42241626 has 72 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 11800656.

The previous prime is 42241607. The next prime is 42241627. The reversal of 42241626 is 62614224.

It is a self number, because there is not a number n which added to its sum of digits gives 42241626.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42241627) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 40945 + ... + 41963.

It is an arithmetic number, because the mean of its divisors is an integer number (1511640).

Almost surely, 242241626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42241626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419040).

42241626 is an abundant number, since it is smaller than the sum of its proper divisors (66596454).

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

42241626 is a wasteful number, since it uses less digits than its factorization.

42241626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 42241626 is about 6499.3558142327. The cubic root of 42241626 is about 348.2679763117.

The spelling of 42241626 in words is "forty-two million, two hundred forty-one thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 141 147 282 294 329 423 441 658 846 882 987 1019 1974 2038 2303 2961 3057 4606 5922 6114 6909 7133 9171 13818 14266 18342 20727 21399 41454 42798 47893 49931 64197 95786 99862 128394 143679 149793 287358 299586 335251 431037 449379 670502 862074 898758 1005753 2011506 2346757 3017259 4693514 6034518 7040271 14080542 21120813 42241626