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42676452 = 223272131861
BaseRepresentation
bin1010001011001…
…1000011100100
32222022012002100
42202303003210
541411121302
64122412100
71025513100
oct242630344
988265070
1042676452
11220a94a5
1212361030
138ac2b50
14594c900
153b2ed1c
hex28b30e4

42676452 has 108 divisors (see below), whose sum is σ = 135214716. Its totient is φ = 11249280.

The previous prime is 42676441. The next prime is 42676453. The reversal of 42676452 is 25467624.

42676452 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 645 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 40755456 = 1386^2 + 6384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42676453) 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, 22002 + ... + 23862.

Almost surely, 242676452 is an apocalyptic number.

42676452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42676452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67607358).

42676452 is an abundant number, since it is smaller than the sum of its proper divisors (92538264).

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

42676452 is a wasteful number, since it uses less digits than its factorization.

42676452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1886 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42676452 is about 6532.7216380311. The cubic root of 42676452 is about 349.4588972152.

The spelling of 42676452 in words is "forty-two million, six hundred seventy-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1861 1911 2548 3276 3722 3822 5583 5733 7444 7644 11166 11466 13027 16749 22332 22932 24193 26054 33498 39081 48386 52108 66996 72579 78162 91189 96772 117243 145158 156324 169351 182378 217737 234486 273567 290316 338702 364756 435474 468972 508053 547134 677404 820701 870948 1016106 1094268 1185457 1524159 1641402 2032212 2370914 3048318 3282804 3556371 4741828 6096636 7112742 10669113 14225484 21338226 42676452