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26281216 = 281353149
BaseRepresentation
bin110010001000…
…0010100000000
31211110020001101
41210100110000
523211444331
62335144144
7436246423
oct144202400
954406041
1026281216
1113920515
128975054
1355a2420
1436c19ba
152492061
hex1910500

26281216 has 72 divisors (see below), whose sum is σ = 57947400. Its totient is φ = 11821056.

The previous prime is 26281193. The next prime is 26281217. The reversal of 26281216 is 61218262.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 26050816 = 480^2 + 5104^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26281217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176310 + ... + 176458.

It is an arithmetic number, because the mean of its divisors is an integer number (804825).

Almost surely, 226281216 is an apocalyptic number.

26281216 is a gapful number since it is divisible by the number (26) 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 26281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28973700).

26281216 is an abundant number, since it is smaller than the sum of its proper divisors (31666184).

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

26281216 is a wasteful number, since it uses less digits than its factorization.

26281216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 26281216 is about 5126.5208475144. The cubic root of 26281216 is about 297.3138576173.

Adding to 26281216 its reverse (61218262), we get a palindrome (87499478).

It can be divided in two parts, 2628 and 1216, that added together give a square (3844 = 622).

The spelling of 26281216 in words is "twenty-six million, two hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 149 208 212 256 298 416 424 596 689 832 848 1192 1378 1664 1696 1937 2384 2756 3328 3392 3874 4768 5512 6784 7748 7897 9536 11024 13568 15496 15794 19072 22048 30992 31588 38144 44096 61984 63176 88192 102661 123968 126352 176384 205322 247936 252704 410644 495872 505408 821288 1010816 1642576 2021632 3285152 6570304 13140608 26281216