Search a number
-
+
26504928 = 253330677
BaseRepresentation
bin110010100011…
…0111011100000
31211212120221000
41211012323200
523241124203
62344032000
7441200562
oct145067340
954776830
1026504928
1113a635aa
128a62600
1356501b8
14373d332
1524d84a3
hex1946ee0

26504928 has 48 divisors (see below), whose sum is σ = 77308560. Its totient is φ = 8834688.

The previous prime is 26504923. The next prime is 26504953. The reversal of 26504928 is 82940562.

It is a happy number.

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

It is a super-2 number, since 2×265049282 = 1405022416570368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26504892 and 26504901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26504923) 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, 14475 + ... + 16202.

It is an arithmetic number, because the mean of its divisors is an integer number (1610595).

Almost surely, 226504928 is an apocalyptic number.

It is an amenable number.

26504928 is an abundant number, since it is smaller than the sum of its proper divisors (50803632).

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

26504928 is a wasteful number, since it uses less digits than its factorization.

26504928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30696 (or 30682 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 26504928 is about 5148.2936979158. The cubic root of 26504928 is about 298.1550774607.

The spelling of 26504928 in words is "twenty-six million, five hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 30677 61354 92031 122708 184062 245416 276093 368124 490832 552186 736248 828279 981664 1104372 1472496 1656558 2208744 2944992 3313116 4417488 6626232 8834976 13252464 26504928