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42444636 = 223131571733
BaseRepresentation
bin1010000111101…
…0011101011100
32221212102002120
42201322131130
541331212021
64113422540
71023526203
oct241723534
987772076
1042444636
1121a60313
121226aa50
138a41490
1458cc23a
153ad62c6
hex287a75c

42444636 has 48 divisors (see below), whose sum is σ = 107397024. Its totient is φ = 12969216.

The previous prime is 42444629. The next prime is 42444643. The reversal of 42444636 is 63644424.

It is an interprime number because it is at equal distance from previous prime (42444629) and next prime (42444643).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42444597 and 42444606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23626 + ... + 25358.

It is an arithmetic number, because the mean of its divisors is an integer number (2237438).

Almost surely, 242444636 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 42444636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53698512).

42444636 is an abundant number, since it is smaller than the sum of its proper divisors (64952388).

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

42444636 is a wasteful number, since it uses less digits than its factorization.

42444636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1908 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 42444636 is about 6514.9547964664. The cubic root of 42444636 is about 348.8250012765.

The spelling of 42444636 in words is "forty-two million, four hundred forty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1733 1884 2041 3466 4082 5199 6123 6932 8164 10398 12246 20796 22529 24492 45058 67587 90116 135174 270348 272081 544162 816243 1088324 1632486 3264972 3537053 7074106 10611159 14148212 21222318 42444636