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26508328 = 23711231871
BaseRepresentation
bin110010100011…
…1110000101000
31211212202120221
41211013300220
523241231303
62344055424
7441213520
oct145076050
954782527
1026508328
1113a66110
128a64574
135651902
143740680
1524d94bd
hex1947c28

26508328 has 64 divisors (see below), whose sum is σ = 64696320. Its totient is φ = 9873600.

The previous prime is 26508323. The next prime is 26508341. The reversal of 26508328 is 82380562.

It is a junction number, because it is equal to n+sod(n) for n = 26508293 and 26508302.

It is not an unprimeable number, because it can be changed into a prime (26508323) 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 15 ways as a sum of consecutive naturals, for example, 13233 + ... + 15103.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 226508328 is an apocalyptic number.

26508328 is a gapful number since it is divisible by the number (28) 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 26508328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32348160).

26508328 is an abundant number, since it is smaller than the sum of its proper divisors (38187992).

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

26508328 is a wasteful number, since it uses less digits than its factorization.

26508328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 26508328 is about 5148.6238938186. The cubic root of 26508328 is about 298.1678258311.

The spelling of 26508328 in words is "twenty-six million, five hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 1871 2024 3542 3742 7084 7484 13097 14168 14968 20581 26194 41162 43033 52388 82324 86066 104776 144067 164648 172132 288134 301231 344264 473363 576268 602462 946726 1152536 1204924 1893452 2409848 3313541 3786904 6627082 13254164 26508328