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26628256 = 2517311579
BaseRepresentation
bin110010110010…
…1000010100000
31212002212002201
41211211002200
523304101011
62350422544
7442223254
oct145450240
955085081
1026628256
1114038226
128b01a54
135694385
143772264
15250ecc1
hex19650a0

26628256 has 48 divisors (see below), whose sum is σ = 57335040. Its totient is φ = 12119040.

The previous prime is 26628247. The next prime is 26628257. The reversal of 26628256 is 65282662.

It is not an unprimeable number, because it can be changed into a prime (26628257) 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, 16075 + ... + 17653.

It is an arithmetic number, because the mean of its divisors is an integer number (1194480).

Almost surely, 226628256 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 26628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28667520).

26628256 is an abundant number, since it is smaller than the sum of its proper divisors (30706784).

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

26628256 is a wasteful number, since it uses less digits than its factorization.

26628256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1629 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 26628256 is about 5160.2573579231. The cubic root of 26628256 is about 298.6168027228.

The spelling of 26628256 in words is "twenty-six million, six hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 1579 2108 3158 4216 6316 8432 12632 16864 25264 26843 48949 50528 53686 97898 107372 195796 214744 391592 429488 783184 832133 858976 1566368 1664266 3328532 6657064 13314128 26628256