Search a number
-
+
42680628 = 2233395191
BaseRepresentation
bin1010001011010…
…0000100110100
32222022101211000
42202310010310
541411240003
64122443300
71025531214
oct242640464
988271730
1042680628
1122101651
1212363530
138ac4a13
145950244
153b311a3
hex28b4134

42680628 has 24 divisors (see below), whose sum is σ = 110653760. Its totient is φ = 14226840.

The previous prime is 42680623. The next prime is 42680629. The reversal of 42680628 is 82608624.

42680628 is a `hidden beast` number, since 4 + 26 + 8 + 0 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42680592 and 42680601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42680621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197488 + ... + 197703.

Almost surely, 242680628 is an apocalyptic number.

It is an amenable number.

42680628 is an abundant number, since it is smaller than the sum of its proper divisors (67973132).

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

42680628 is a wasteful number, since it uses less digits than its factorization.

42680628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395204 (or 395196 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42680628 is about 6533.0412519745. The cubic root of 42680628 is about 349.4702953258.

The spelling of 42680628 in words is "forty-two million, six hundred eighty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 395191 790382 1185573 1580764 2371146 3556719 4742292 7113438 10670157 14226876 21340314 42680628