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26422144 = 27737797
BaseRepresentation
bin110010011001…
…0101110000000
31211201101100221
41210302232000
523231002034
62342152424
7440404330
oct144625600
954641327
1026422144
1113a07391
128a22714
135621608
14371b0c0
1524bdbb4
hex1932b80

26422144 has 64 divisors (see below), whose sum is σ = 61860960. Its totient is φ = 11003904.

The previous prime is 26422133. The next prime is 26422157. The reversal of 26422144 is 44122462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32754 + ... + 33550.

Almost surely, 226422144 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 26422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30930480).

26422144 is an abundant number, since it is smaller than the sum of its proper divisors (35438816).

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

26422144 is an equidigital number, since it uses as much as digits as its factorization.

26422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 843 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 26422144 is about 5140.2474648600. The cubic root of 26422144 is about 297.8443401279.

The spelling of 26422144 in words is "twenty-six million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 797 896 1036 1184 1594 2072 2368 3188 4144 4736 5579 6376 8288 11158 12752 16576 22316 25504 29489 33152 44632 51008 58978 89264 102016 117956 178528 206423 235912 357056 412846 471824 714112 825692 943648 1651384 1887296 3302768 3774592 6605536 13211072 26422144