Search a number
-
+
26126604 = 2233724937
BaseRepresentation
bin110001110101…
…0100100001100
31211011100222000
41203222210030
523142022404
62331552300
7435033600
oct143524414
954140860
1026126604
1113825339
1288bb690
135549c3a
143681500
152461339
hex18ea90c

26126604 has 72 divisors (see below), whose sum is σ = 78810480. Its totient is φ = 7463232.

The previous prime is 26126563. The next prime is 26126609. The reversal of 26126604 is 40662162.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (26126609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2824 + ... + 7760.

It is an arithmetic number, because the mean of its divisors is an integer number (1094590).

Almost surely, 226126604 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 26126604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39405240).

26126604 is an abundant number, since it is smaller than the sum of its proper divisors (52683876).

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

26126604 is a wasteful number, since it uses less digits than its factorization.

26126604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26126604 is about 5111.4189810658. The cubic root of 26126604 is about 296.7296795549.

Adding to 26126604 its reverse (40662162), we get a palindrome (66788766).

It can be divided in two parts, 2612 and 6604, that added together give a square (9216 = 962).

The spelling of 26126604 in words is "twenty-six million, one hundred twenty-six thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 4937 5292 9874 14811 19748 29622 34559 44433 59244 69118 88866 103677 133299 138236 177732 207354 241913 266598 311031 414708 483826 533196 622062 725739 933093 967652 1244124 1451478 1866186 2177217 2902956 3732372 4354434 6531651 8708868 13063302 26126604