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42444696 = 2337467541
BaseRepresentation
bin1010000111101…
…0011110011000
32221212102011210
42201322132120
541331212241
64113423120
71023526320
oct241723630
987772153
1042444696
1121a60368
121226aaa0
138a41508
1458cc280
153ad6316
hex287a798

42444696 has 64 divisors (see below), whose sum is σ = 121754880. Its totient is φ = 12078720.

The previous prime is 42444691. The next prime is 42444707. The reversal of 42444696 is 69644424.

42444696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (165888) is a multiple of the sum of its prime factors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78186 + ... + 78726.

It is an arithmetic number, because the mean of its divisors is an integer number (1902420).

Almost surely, 242444696 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 42444696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60877440).

42444696 is an abundant number, since it is smaller than the sum of its proper divisors (79310184).

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

42444696 is a wasteful number, since it uses less digits than its factorization.

42444696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1020 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 42444696 is about 6514.9594012549. The cubic root of 42444696 is about 348.8251656435.

The spelling of 42444696 in words is "forty-two million, four hundred forty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 467 541 934 1082 1401 1623 1868 2164 2802 3246 3269 3736 3787 4328 5604 6492 6538 7574 9807 11208 11361 12984 13076 15148 19614 22722 26152 30296 39228 45444 78456 90888 252647 505294 757941 1010588 1515882 1768529 2021176 3031764 3537058 5305587 6063528 7074116 10611174 14148232 21222348 42444696