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2488590 = 233513709
BaseRepresentation
bin1001011111100100001110
311200102201000
421133210032
51114113330
6125201130
730103236
oct11374416
94612630
102488590
11144a795
12a001a6
13691950
1448acc6
15342560
hex25f90e

2488590 has 64 divisors (see below), whose sum is σ = 7156800. Its totient is φ = 611712.

The previous prime is 2488573. The next prime is 2488597. The reversal of 2488590 is 958842.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 24 + 4 + 82 + 87 + 58 + 93 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3156 + ... + 3864.

It is an arithmetic number, because the mean of its divisors is an integer number (111825).

22488590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2488590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578400).

2488590 is an abundant number, since it is smaller than the sum of its proper divisors (4668210).

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

2488590 is a wasteful number, since it uses less digits than its factorization.

2488590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2488590 is about 1577.5265449431. The cubic root of 2488590 is about 135.5140892109.

The spelling of 2488590 in words is "two million, four hundred eighty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 709 1170 1418 1755 2127 3510 3545 4254 6381 7090 9217 10635 12762 18434 19143 21270 27651 31905 38286 46085 55302 63810 82953 92170 95715 138255 165906 191430 248859 276510 414765 497718 829530 1244295 2488590