Search a number
-
+
26664288 = 253739679
BaseRepresentation
bin110010110110…
…1110101100000
31212011200112020
41211231311200
523311224123
62351301440
7442433310
oct145556540
955150466
1026664288
1114062302
128b1a880
1356a78b1
143781440
15251a7e3
hex196dd60

26664288 has 48 divisors (see below), whose sum is σ = 79994880. Its totient is φ = 7618176.

The previous prime is 26664241. The next prime is 26664289. The reversal of 26664288 is 88246662.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26664289) 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 7 ways as a sum of consecutive naturals, for example, 19168 + ... + 20511.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 226664288 is an apocalyptic number.

26664288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26664288 is an abundant number, since it is smaller than the sum of its proper divisors (53330592).

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

26664288 is a wasteful number, since it uses less digits than its factorization.

26664288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39699 (or 39691 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 26664288 is about 5163.7474763973. The cubic root of 26664288 is about 298.7514330329.

The spelling of 26664288 in words is "twenty-six million, six hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 39679 79358 119037 158716 238074 277753 317432 476148 555506 634864 833259 952296 1111012 1269728 1666518 1904592 2222024 3333036 3809184 4444048 6666072 8888096 13332144 26664288