Search a number
-
+
26298972 = 2233743809
BaseRepresentation
bin110010001010…
…0101001011100
31211111010102000
41210110221130
523213031342
62335402300
7436352250
oct144245134
954433360
1026298972
1113932897
128983390
1355aa52b
1436c8260
15249744c
hex1914a5c

26298972 has 96 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 7330176.

The previous prime is 26298967. The next prime is 26298973. The reversal of 26298972 is 27989262.

Its product of digits (217728) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26298973) 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 31 ways as a sum of consecutive naturals, for example, 32104 + ... + 32912.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 226298972 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 26298972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

26298972 is an abundant number, since it is smaller than the sum of its proper divisors (53534628).

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

26298972 is a wasteful number, since it uses less digits than its factorization.

26298972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 26298972 is about 5128.2523338853. The cubic root of 26298972 is about 297.3807991726.

The spelling of 26298972 in words is "twenty-six million, two hundred ninety-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 809 903 1161 1204 1548 1618 1806 2322 2427 2709 3236 3612 4644 4854 5418 5663 7281 8127 9708 10836 11326 14562 16254 16989 21843 22652 29124 32508 33978 34787 43686 50967 67956 69574 87372 101934 104361 139148 152901 203868 208722 243509 305802 313083 417444 487018 611604 626166 730527 939249 974036 1252332 1461054 1878498 2191581 2922108 3756996 4383162 6574743 8766324 13149486 26298972