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26438328 = 2332752457
BaseRepresentation
bin110010011011…
…0101010111000
31211202012120100
41210312222320
523232011303
62342355400
7440502450
oct144665270
954665510
1026438328
1113a18564
128a2bb60
135628aa7
143722d60
1524c38a3
hex1936ab8

26438328 has 48 divisors (see below), whose sum is σ = 81834480. Its totient is φ = 7553664.

The previous prime is 26438327. The next prime is 26438333. The reversal of 26438328 is 82383462.

26438328 is a `hidden beast` number, since 2 + 643 + 8 + 3 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26438292 and 26438301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26438323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25725 + ... + 26732.

It is an arithmetic number, because the mean of its divisors is an integer number (1704885).

Almost surely, 226438328 is an apocalyptic number.

26438328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26438328 is an abundant number, since it is smaller than the sum of its proper divisors (55396152).

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

26438328 is a wasteful number, since it uses less digits than its factorization.

26438328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52476 (or 52469 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 26438328 is about 5141.8214671457. The cubic root of 26438328 is about 297.9051392435.

The spelling of 26438328 in words is "twenty-six million, four hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 52457 104914 157371 209828 314742 367199 419656 472113 629484 734398 944226 1101597 1258968 1468796 1888452 2203194 2937592 3304791 3776904 4406388 6609582 8812776 13219164 26438328