Search a number
-
+
26782956 = 223217107409
BaseRepresentation
bin110011000101…
…0110011101100
31212101201022100
41212022303230
523324023311
62354015100
7443436264
oct146126354
955351270
1026782956
1114133482
128b77490
135719905
1437b27a4
152540a56
hex198acec

26782956 has 72 divisors (see below), whose sum is σ = 72530640. Its totient is φ = 8303616.

The previous prime is 26782933. The next prime is 26782981. The reversal of 26782956 is 65928762.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65280 + ... + 65688.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 226782956 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 26782956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36265320).

26782956 is an abundant number, since it is smaller than the sum of its proper divisors (45747684).

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

26782956 is a wasteful number, since it uses less digits than its factorization.

26782956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 538 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 26782956 is about 5175.2252124908. The cubic root of 26782956 is about 299.1939696565.

The spelling of 26782956 in words is "twenty-six million, seven hundred eighty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 107 153 204 214 306 321 409 428 612 642 818 963 1227 1284 1636 1819 1926 2454 3638 3681 3852 4908 5457 6953 7276 7362 10914 13906 14724 16371 20859 21828 27812 32742 41718 43763 62577 65484 83436 87526 125154 131289 175052 250308 262578 393867 525156 743971 787734 1487942 1575468 2231913 2975884 4463826 6695739 8927652 13391478 26782956