Search a number
-
+
2604896 = 25729401
BaseRepresentation
bin1001111011111101100000
311220100020122
421323331200
51131324041
6131455412
731066310
oct11737540
94810218
102604896
11151a108
12a57568
13702878
144bb440
15366c4b
hex27bf60

2604896 has 48 divisors (see below), whose sum is σ = 6078240. Its totient is φ = 1075200.

The previous prime is 2604887. The next prime is 2604907. The reversal of 2604896 is 6984062.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6296 + ... + 6696.

It is an arithmetic number, because the mean of its divisors is an integer number (126630).

22604896 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 2604896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039120).

2604896 is an abundant number, since it is smaller than the sum of its proper divisors (3473344).

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

2604896 is a wasteful number, since it uses less digits than its factorization.

2604896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2604896 is about 1613.9690207684. The cubic root of 2604896 is about 137.5931446017.

The spelling of 2604896 in words is "two million, six hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 401 406 464 802 812 928 1604 1624 2807 3208 3248 5614 6416 6496 11228 11629 12832 22456 23258 44912 46516 81403 89824 93032 162806 186064 325612 372128 651224 1302448 2604896