Search a number
-
+
26224884 = 2234731373
BaseRepresentation
bin110010000001…
…0100011110100
31211100100210000
41210002203310
523203144014
62334031300
7435623250
oct144024364
954310700
1026224884
1113892164
128948530
1355828aa
1436a9260
152480509
hex19028f4

26224884 has 120 divisors (see below), whose sum is σ = 81095168. Its totient is φ = 7231680.

The previous prime is 26224879. The next prime is 26224889. The reversal of 26224884 is 48842262.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26224879) and next prime (26224889).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26224889) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70122 + ... + 70494.

Almost surely, 226224884 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 26224884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40547584).

26224884 is an abundant number, since it is smaller than the sum of its proper divisors (54870284).

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

26224884 is a wasteful number, since it uses less digits than its factorization.

26224884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 26224884 is about 5121.0237257798. The cubic root of 26224884 is about 297.1012816497.

The spelling of 26224884 in words is "twenty-six million, two hundred twenty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 373 378 434 558 567 651 746 756 837 868 1116 1119 1134 1302 1492 1674 1953 2238 2268 2511 2604 2611 3348 3357 3906 4476 5022 5222 5859 6714 7812 7833 10044 10071 10444 11563 11718 13428 15666 17577 20142 23126 23436 23499 30213 31332 34689 35154 40284 46252 46998 60426 69378 70308 70497 80941 93996 104067 120852 138756 140994 161882 208134 211491 242823 281988 312201 323764 416268 422982 485646 624402 728469 845964 936603 971292 1248804 1456938 1873206 2185407 2913876 3746412 4370814 6556221 8741628 13112442 26224884