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26431328 = 2571117631
BaseRepresentation
bin110010011010…
…0111101100000
31211201211222002
41210310331200
523231300303
62342303132
7440443160
oct144647540
954654862
1026431328
1113a13280
128a27aa8
135625851
1437205a0
1524c1788
hex1934f60

26431328 has 96 divisors (see below), whose sum is σ = 68802048. Its totient is φ = 9676800.

The previous prime is 26431303. The next prime is 26431331. The reversal of 26431328 is 82313462.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26431328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41573 + ... + 42203.

It is an arithmetic number, because the mean of its divisors is an integer number (716688).

Almost surely, 226431328 is an apocalyptic number.

26431328 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 26431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34401024).

26431328 is an abundant number, since it is smaller than the sum of its proper divisors (42370720).

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

26431328 is a wasteful number, since it uses less digits than its factorization.

26431328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 26431328 is about 5141.1407294491. The cubic root of 26431328 is about 297.8788450940.

The spelling of 26431328 in words is "twenty-six million, four hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 544 616 631 748 952 1232 1262 1309 1496 1904 2464 2524 2618 2992 3808 4417 5048 5236 5984 6941 8834 10096 10472 10727 13882 17668 20192 20944 21454 27764 35336 41888 42908 48587 55528 70672 75089 85816 97174 111056 117997 141344 150178 171632 194348 222112 235994 300356 343264 388696 471988 600712 777392 825979 943976 1201424 1554784 1651958 1887952 2402848 3303916 3775904 6607832 13215664 26431328