Search a number
-
+
42683736 = 23317233449
BaseRepresentation
bin1010001011010…
…0110101011000
32222022120002010
42202310311120
541411334421
64122505520
71025543244
oct242646530
988276063
1042683736
1122103a17
12123652a0
138ac6264
145951424
153b32076
hex28b4d58

42683736 has 64 divisors (see below), whose sum is σ = 113724000. Its totient is φ = 13303808.

The previous prime is 42683731. The next prime is 42683743. The reversal of 42683736 is 63738624.

It is a junction number, because it is equal to n+sod(n) for n = 42683694 and 42683703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42683731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94840 + ... + 95288.

Almost surely, 242683736 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 42683736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56862000).

42683736 is an abundant number, since it is smaller than the sum of its proper divisors (71040264).

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

42683736 is a wasteful number, since it uses less digits than its factorization.

42683736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 42683736 is about 6533.2791154213. The cubic root of 42683736 is about 349.4787779198.

The spelling of 42683736 in words is "forty-two million, six hundred eighty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 233 408 449 466 699 898 932 1347 1398 1796 1864 2694 2796 3592 3961 5388 5592 7633 7922 10776 11883 15266 15844 22899 23766 30532 31688 45798 47532 61064 91596 95064 104617 183192 209234 313851 418468 627702 836936 1255404 1778489 2510808 3556978 5335467 7113956 10670934 14227912 21341868 42683736