[go: up one dir, main page]

Search a number
-
+
26604384 = 253972857
BaseRepresentation
bin110010101111…
…1001101100000
31212001122100120
41211133031200
523302320014
62350120240
7442063542
oct145371540
955048316
1026604384
11140212a4
128ab0080
135686551
143767692
152507ba9
hex195f360

26604384 has 48 divisors (see below), whose sum is σ = 70581168. Its totient is φ = 8773632.

The previous prime is 26604377. The next prime is 26604407. The reversal of 26604384 is 48340662.

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

It is a congruent number.

It is an unprimeable number.

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, 7884 + ... + 10740.

It is an arithmetic number, because the mean of its divisors is an integer number (1470441).

Almost surely, 226604384 is an apocalyptic number.

26604384 is a gapful number since it is divisible by the number (24) 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 26604384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35290584).

26604384 is an abundant number, since it is smaller than the sum of its proper divisors (43976784).

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

26604384 is a wasteful number, since it uses less digits than its factorization.

26604384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 26604384 is about 5157.9437763512. The cubic root of 26604384 is about 298.5275402539.

The spelling of 26604384 in words is "twenty-six million, six hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 2857 3104 4656 5714 8571 9312 11428 17142 22856 34284 45712 68568 91424 137136 274272 277129 554258 831387 1108516 1662774 2217032 3325548 4434064 6651096 8868128 13302192 26604384