Search a number
-
+
2626208 = 251359107
BaseRepresentation
bin1010000001001010100000
311221102110222
422001022200
51133014313
6132142212
731215404
oct12011240
94842428
102626208
111534122
12a67968
1370c490
144c5104
1536d208
hex2812a0

2626208 has 48 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 1180416.

The previous prime is 2626181. The next prime is 2626229. The reversal of 2626208 is 8026262.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 27 + 64 + 211 + 64 + 219 + 0 + 87 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24491 + ... + 24597.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

22626208 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 2626208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2626208 is an abundant number, since it is smaller than the sum of its proper divisors (3089152).

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

2626208 is a wasteful number, since it uses less digits than its factorization.

2626208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2626208 is about 1620.5579286159. The cubic root of 2626208 is about 137.9673660844.

The spelling of 2626208 in words is "two million, six hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 59 104 107 118 208 214 236 416 428 472 767 856 944 1391 1534 1712 1888 2782 3068 3424 5564 6136 6313 11128 12272 12626 22256 24544 25252 44512 50504 82069 101008 164138 202016 328276 656552 1313104 2626208