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42044100 = 22352720021
BaseRepresentation
bin1010000001100…
…0101011000100
32221010001122220
42200120223010
541230402400
64101052340
71020240360
oct240305304
987101586
1042044100
112180739a
12120b70b0
138931087
1458262a0
153a577a0
hex2818ac4

42044100 has 72 divisors (see below), whose sum is σ = 139032768. Its totient is φ = 9609600.

The previous prime is 42044089. The next prime is 42044117. The reversal of 42044100 is 144024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42044100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7911 + ... + 12110.

Almost surely, 242044100 is an apocalyptic number.

It is an amenable number.

42044100 is an abundant number, since it is smaller than the sum of its proper divisors (96988668).

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

42044100 is a wasteful number, since it uses less digits than its factorization.

42044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20045 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42044100 is about 6484.1421946160. The cubic root of 42044100 is about 347.7242828647.

Adding to 42044100 its reverse (144024), we get a palindrome (42188124).

The spelling of 42044100 in words is "forty-two million, forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 20021 40042 60063 80084 100105 120126 140147 200210 240252 280294 300315 400420 420441 500525 560588 600630 700735 840882 1001050 1201260 1401470 1501575 1681764 2002100 2102205 2802940 3003150 3503675 4204410 6006300 7007350 8408820 10511025 14014700 21022050 42044100