Search a number
-
+
2689488 = 243219983
BaseRepresentation
bin1010010000100111010000
312001122021200
422100213100
51142030423
6133351200
731601034
oct12204720
95048250
102689488
11157771a
12a98500
13732219
145001c4
15381d43
hex2909d0

2689488 has 60 divisors (see below), whose sum is σ = 7931040. Its totient is φ = 848448.

The previous prime is 2689487. The next prime is 2689499. The reversal of 2689488 is 8849862.

It is a happy number.

2689488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2245 + ... + 3227.

It is an arithmetic number, because the mean of its divisors is an integer number (132184).

22689488 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 2689488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965520).

2689488 is an abundant number, since it is smaller than the sum of its proper divisors (5241552).

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

2689488 is a wasteful number, since it uses less digits than its factorization.

2689488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1007 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2689488 is about 1639.9658533030. The cubic root of 2689488 is about 139.0667174498.

The spelling of 2689488 in words is "two million, six hundred eighty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 983 1368 1966 2736 2949 3932 5898 7864 8847 11796 15728 17694 18677 23592 35388 37354 47184 56031 70776 74708 112062 141552 149416 168093 224124 298832 336186 448248 672372 896496 1344744 2689488