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26427996 = 223271731199
BaseRepresentation
bin110010011010…
…0001001011100
31211201200101200
41210310021130
523231143441
62342235500
7440430360
oct144641134
954650350
1026427996
1113a10821
128a25b90
13562418a
14371d2a0
1524c07b6
hex193425c

26427996 has 144 divisors (see below), whose sum is σ = 83865600. Its totient is φ = 6842880.

The previous prime is 26427983. The next prime is 26428001. The reversal of 26427996 is 69972462.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 132705 + ... + 132903.

It is an arithmetic number, because the mean of its divisors is an integer number (582400).

Almost surely, 226427996 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 26427996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41932800).

26427996 is an abundant number, since it is smaller than the sum of its proper divisors (57437604).

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

26427996 is a wasteful number, since it uses less digits than its factorization.

26427996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 26427996 is about 5140.8166666396. The cubic root of 26427996 is about 297.8663274480.

The spelling of 26427996 in words is "twenty-six million, four hundred twenty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 199 204 217 238 252 279 306 357 372 398 434 476 527 558 597 612 651 714 796 868 1054 1071 1116 1194 1302 1393 1428 1581 1791 1953 2108 2142 2388 2604 2786 3162 3383 3582 3689 3906 4179 4284 4743 5572 6169 6324 6766 7164 7378 7812 8358 9486 10149 11067 12338 12537 13532 14756 16716 18507 18972 20298 22134 23681 24676 25074 30447 33201 37014 40596 43183 44268 47362 50148 55521 60894 66402 71043 74028 86366 94724 104873 111042 121788 129549 132804 142086 172732 209746 213129 222084 259098 284172 314619 388647 419492 426258 518196 629238 734111 777294 852516 943857 1258476 1468222 1554588 1887714 2202333 2936444 3775428 4404666 6606999 8809332 13213998 26427996