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42674580 = 22335136079
BaseRepresentation
bin1010001011001…
…0100110010100
32222022002112000
42202302212110
541411041310
64122355300
71025504454
oct242624624
988262460
1042674580
11220a8053
121235bb30
138ac2040
14594bd64
153b2e4c0
hex28b2994

42674580 has 96 divisors (see below), whose sum is σ = 143001600. Its totient is φ = 10502784.

The previous prime is 42674537. The next prime is 42674581. The reversal of 42674580 is 8547624.

42674580 is a `hidden beast` number, since 4 + 2 + 6 + 74 + 580 = 666.

It is a super-2 number, since 2×426745802 = 3642239556352800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42674581) 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 31 ways as a sum of consecutive naturals, for example, 3981 + ... + 10059.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 242674580 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 42674580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71500800).

42674580 is an abundant number, since it is smaller than the sum of its proper divisors (100327020).

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

42674580 is a wasteful number, since it uses less digits than its factorization.

42674580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42674580 is about 6532.5783577390. The cubic root of 42674580 is about 349.4537874760.

The spelling of 42674580 in words is "forty-two million, six hundred seventy-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 6079 7020 12158 18237 24316 30395 36474 54711 60790 72948 79027 91185 109422 121580 158054 164133 182370 218844 237081 273555 316108 328266 364740 395135 474162 547110 656532 711243 790270 820665 948324 1094220 1185405 1422486 1580540 1641330 2133729 2370810 2844972 3282660 3556215 4267458 4741620 7112430 8534916 10668645 14224860 21337290 42674580