Search a number
-
+
2642608 = 242343167
BaseRepresentation
bin1010000101001010110000
311222020222101
422011022300
51134030413
6132350144
731314253
oct12051260
94866871
102642608
111545481
12a75354
13716a97
144cb09a
15372edd
hex2852b0

2642608 has 40 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 1227072.

The previous prime is 2642603. The next prime is 2642609. The reversal of 2642608 is 8062462.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 25 + 64 + 49 + 211 + 67 + 0 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642603) 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, 15741 + ... + 15907.

22642608 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 2642608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2642608 is an abundant number, since it is smaller than the sum of its proper divisors (2857040).

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

2642608 is a wasteful number, since it uses less digits than its factorization.

2642608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2642608 is about 1625.6100393391. The cubic root of 2642608 is about 138.2539606921.

The spelling of 2642608 in words is "two million, six hundred forty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 23 43 46 86 92 167 172 184 334 344 368 668 688 989 1336 1978 2672 3841 3956 7181 7682 7912 14362 15364 15824 28724 30728 57448 61456 114896 165163 330326 660652 1321304 2642608