Search a number
-
+
2825604 = 22371719
BaseRepresentation
bin1010110001110110000100
312022120000000
422301312010
51210404404
6140321300
733005625
oct12616604
95276000
102825604
11165aa11
12b43230
1377c172
14537a4c
153ac339
hex2b1d84

2825604 has 96 divisors (see below), whose sum is σ = 8265600. Its totient is φ = 839808.

The previous prime is 2825567. The next prime is 2825639. The reversal of 2825604 is 4065282.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148707 + ... + 148725.

It is an arithmetic number, because the mean of its divisors is an integer number (86100).

22825604 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 2825604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132800).

2825604 is an abundant number, since it is smaller than the sum of its proper divisors (5439996).

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

2825604 is a wasteful number, since it uses less digits than its factorization.

2825604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2825604 is about 1680.9533009575. The cubic root of 2825604 is about 141.3742884949.

It can be divided in two parts, 282 and 5604, that added together give a triangular number (5886 = T108).

The spelling of 2825604 in words is "two million, eight hundred twenty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 243 306 323 324 342 459 486 513 612 646 684 729 918 969 972 1026 1292 1377 1458 1539 1836 1938 2052 2187 2754 2907 2916 3078 3876 4131 4374 4617 5508 5814 6156 8262 8721 8748 9234 11628 12393 13851 16524 17442 18468 24786 26163 27702 34884 37179 41553 49572 52326 55404 74358 78489 83106 104652 148716 156978 166212 235467 313956 470934 706401 941868 1412802 2825604