Search a number
-
+
2625696 = 25341013
BaseRepresentation
bin1010000001000010100000
311221101210000
422001002200
51133010241
6132140000
731214043
oct12010240
94841700
102625696
1115337a7
12a67600
1370c188
144c4c5a
1536ceb6
hex2810a0

2625696 has 60 divisors (see below), whose sum is σ = 7729722. Its totient is φ = 874368.

The previous prime is 2625691. The next prime is 2625761. The reversal of 2625696 is 6965262.

It can be written as a sum of positive squares in only one way, i.e., 2624400 + 1296 = 1620^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2625696.

It is not an unprimeable number, because it can be changed into a prime (2625691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2086 + ... + 3098.

22625696 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 2625696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864861).

2625696 is an abundant number, since it is smaller than the sum of its proper divisors (5104026).

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

2625696 is a wasteful number, since it uses less digits than its factorization.

2625696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2625696 is about 1620.3999506295. The cubic root of 2625696 is about 137.9583995590.

It can be divided in two parts, 2625 and 696, that added together give a triangular number (3321 = T81).

The spelling of 2625696 in words is "two million, six hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1013 1296 2026 2592 3039 4052 6078 8104 9117 12156 16208 18234 24312 27351 32416 36468 48624 54702 72936 82053 97248 109404 145872 164106 218808 291744 328212 437616 656424 875232 1312848 2625696