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26413152 = 253733769
BaseRepresentation
bin110010011000…
…0100001100000
31211200221000220
41210300201200
523230210102
62342043040
7440336163
oct144604140
954627026
1026413152
1113a00657
128a19480
13561a4ac
143717ada
1524bb1bc
hex1930860

26413152 has 48 divisors (see below), whose sum is σ = 70302960. Its totient is φ = 8681472.

The previous prime is 26413151. The next prime is 26413159. The reversal of 26413152 is 25131462.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26413151) 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, 5124 + ... + 8892.

It is an arithmetic number, because the mean of its divisors is an integer number (1464645).

Almost surely, 226413152 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 26413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35151480).

26413152 is an abundant number, since it is smaller than the sum of its proper divisors (43889808).

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

26413152 is a wasteful number, since it uses less digits than its factorization.

26413152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3847 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 26413152 is about 5139.3727243702. The cubic root of 26413152 is about 297.8105487724.

It can be divided in two parts, 26413 and 152, that added together give a triangular number (26565 = T230).

The spelling of 26413152 in words is "twenty-six million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 3769 7008 7538 11307 15076 22614 30152 45228 60304 90456 120608 180912 275137 361824 550274 825411 1100548 1650822 2201096 3301644 4402192 6603288 8804384 13206576 26413152