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26228376 = 23321372659
BaseRepresentation
bin110010000001…
…1011010011000
31211100112120100
41210003122120
523203302001
62334055400
7435636366
oct144033230
954315510
1026228376
1113894849
12894a560
135584365
1436aa636
152481586
hex1903698

26228376 has 48 divisors (see below), whose sum is σ = 71580600. Its totient is φ = 8675712.

The previous prime is 26228351. The next prime is 26228381. The reversal of 26228376 is 67382262.

26228376 is a `hidden beast` number, since 262 + 28 + 376 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26228376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8535 + ... + 11193.

Almost surely, 226228376 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 26228376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35790300).

26228376 is an abundant number, since it is smaller than the sum of its proper divisors (45352224).

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

26228376 is a wasteful number, since it uses less digits than its factorization.

26228376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2801 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 26228376 is about 5121.3646618846. The cubic root of 26228376 is about 297.1144680014.

The spelling of 26228376 in words is "twenty-six million, two hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 2659 3288 4932 5318 7977 9864 10636 15954 21272 23931 31908 47862 63816 95724 191448 364283 728566 1092849 1457132 2185698 2914264 3278547 4371396 6557094 8742792 13114188 26228376