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42760674 = 23211229677
BaseRepresentation
bin1010001100011…
…1100111100010
32222110110121200
42203013213202
541421320144
64124302030
71026313455
oct243074742
988413550
1042760674
1122156800
12123a1916
138b22298
14597149c
153b49c69
hex28c79e2

42760674 has 72 divisors (see below), whose sum is σ = 105503580. Its totient is φ = 12492480.

The previous prime is 42760667. The next prime is 42760691. The reversal of 42760674 is 47606724.

42760674 is a `hidden beast` number, since 42 + 7 + 606 + 7 + 4 = 666.

42760674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37271025 + 5489649 = 6105^2 + 2343^2 .

It is a Curzon number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 62824 + ... + 63500.

Almost surely, 242760674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42760674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52751790).

42760674 is an abundant number, since it is smaller than the sum of its proper divisors (62742906).

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

42760674 is a wasteful number, since it uses less digits than its factorization.

42760674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 42760674 is about 6539.1646255466. The cubic root of 42760674 is about 349.6886319255.

It can be divided in two parts, 42760 and 674, that added together give a palindrome (43434).

The spelling of 42760674 in words is "forty-two million, seven hundred sixty thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 677 726 957 1089 1354 1914 2031 2178 2871 3509 4062 5742 6093 7018 7447 10527 12186 14894 19633 21054 22341 31581 39266 44682 58899 63162 67023 81917 117798 134046 163834 176697 215963 245751 353394 431926 491502 647889 737253 1295778 1474506 1943667 2375593 3887334 4751186 7126779 14253558 21380337 42760674