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26380944 = 243379773
BaseRepresentation
bin110010010100…
…0101010010000
31211122021212000
41210220222100
523223142234
62341234000
7440143242
oct144505220
954567760
1026380944
1113989437
128a02900
135608935
14370a092
1524b1899
hex1928a90

26380944 has 80 divisors (see below), whose sum is σ = 76780800. Its totient is φ = 8671104.

The previous prime is 26380933. The next prime is 26380951. The reversal of 26380944 is 44908362.

It is a happy number.

It is a super-2 number, since 2×263809442 = 1391908412662272, 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 = 26380899 and 26380908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33742 + ... + 34514.

It is an arithmetic number, because the mean of its divisors is an integer number (959760).

Almost surely, 226380944 is an apocalyptic number.

26380944 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 26380944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38390400).

26380944 is an abundant number, since it is smaller than the sum of its proper divisors (50399856).

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

26380944 is a wasteful number, since it uses less digits than its factorization.

26380944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 26380944 is about 5136.2383122281. The cubic root of 26380944 is about 297.6894502183.

The spelling of 26380944 in words is "twenty-six million, three hundred eighty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 773 948 1264 1422 1546 1896 2133 2319 2844 3092 3792 4266 4638 5688 6184 6957 8532 9276 11376 12368 13914 17064 18552 20871 27828 34128 37104 41742 55656 61067 83484 111312 122134 166968 183201 244268 333936 366402 488536 549603 732804 977072 1099206 1465608 1648809 2198412 2931216 3297618 4396824 6595236 8793648 13190472 26380944