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26266152 = 23311372689
BaseRepresentation
bin110010000110…
…0101000101000
31211102110101110
41210030220220
523211004102
62334550320
7436154463
oct144145050
954373343
1026266152
1113910170
1289683a0
135598603
1436ba2da
15248c86c
hex190ca28

26266152 has 64 divisors (see below), whose sum is σ = 73598400. Its totient is φ = 7741440.

The previous prime is 26266109. The next prime is 26266159. The reversal of 26266152 is 25166262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26266159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8424 + ... + 11112.

It is an arithmetic number, because the mean of its divisors is an integer number (1149975).

Almost surely, 226266152 is an apocalyptic number.

26266152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26266152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36799200).

26266152 is an abundant number, since it is smaller than the sum of its proper divisors (47332248).

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

26266152 is a wasteful number, since it uses less digits than its factorization.

26266152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2742 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 26266152 is about 5125.0514143762. The cubic root of 26266152 is about 297.2570414748.

It can be divided in two parts, 2626 and 6152, that added together give a palindrome (8778).

The spelling of 26266152 in words is "twenty-six million, two hundred sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 2689 3256 4884 5378 8067 9768 10756 16134 21512 29579 32268 59158 64536 88737 99493 118316 177474 198986 236632 298479 354948 397972 596958 709896 795944 1094423 1193916 2188846 2387832 3283269 4377692 6566538 8755384 13133076 26266152