Search a number
-
+
26553040 = 2452314431
BaseRepresentation
bin110010101001…
…0101011010000
31211222000220221
41211102223100
523244144130
62345042424
7441461053
oct145225320
954860827
1026553040
1113a96768
128a86414
135669077
143752a9a
1524e787a
hex1952ad0

26553040 has 40 divisors (see below), whose sum is σ = 64424448. Its totient is φ = 10158720.

The previous prime is 26553029. The next prime is 26553047. The reversal of 26553040 is 4035562.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26552996 and 26553014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26553047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5376 + ... + 9055.

Almost surely, 226553040 is an apocalyptic number.

26553040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26553040 is an abundant number, since it is smaller than the sum of its proper divisors (37871408).

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

26553040 is a wasteful number, since it uses less digits than its factorization.

26553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14467 (or 14461 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 26553040 is about 5152.9641954898. The cubic root of 26553040 is about 298.3353730671.

The spelling of 26553040 in words is "twenty-six million, five hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 14431 28862 57724 72155 115448 144310 230896 288620 331913 577240 663826 1154480 1327652 1659565 2655304 3319130 5310608 6638260 13276520 26553040