Search a number
-
+
2488374 = 233729227
BaseRepresentation
bin1001011111100000110110
311200102102000
421133200312
51114111444
6125200130
730102510
oct11374066
94612360
102488374
11144a609
12a00046
13691815
1448abb0
15342469
hex25f836

2488374 has 64 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 683424.

The previous prime is 2488363. The next prime is 2488379. The reversal of 2488374 is 4738842.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488379) 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, 10849 + ... + 11075.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

22488374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2488374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2488374 is an abundant number, since it is smaller than the sum of its proper divisors (4078026).

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

2488374 is a wasteful number, since it uses less digits than its factorization.

2488374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 2488374 is about 1577.4580818519. The cubic root of 2488374 is about 135.5101683976.

Subtracting from 2488374 its product of digits (43008), we obtain a triangular number (2445366 = T2211).

The spelling of 2488374 in words is "two million, four hundred eighty-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 227 261 378 406 454 522 609 681 783 1218 1362 1566 1589 1827 2043 3178 3654 4086 4767 5481 6129 6583 9534 10962 12258 13166 14301 19749 28602 39498 42903 46081 59247 85806 92162 118494 138243 177741 276486 355482 414729 829458 1244187 2488374