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26144980 = 22517131587
BaseRepresentation
bin110001110111…
…1000011010100
31211012022011121
41203233003110
523143114410
62332213324
7435141301
oct143570324
954168147
1026144980
1113838124
12890a244
135555404
1436880a8
1524669da
hex18ef0d4

26144980 has 48 divisors (see below), whose sum is σ = 58677696. Its totient is φ = 9751040.

The previous prime is 26144957. The next prime is 26144983. The reversal of 26144980 is 8944162.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26144983) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44247 + ... + 44833.

It is an arithmetic number, because the mean of its divisors is an integer number (1222452).

Almost surely, 226144980 is an apocalyptic number.

26144980 is a gapful number since it is divisible by the number (20) 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 26144980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29338848).

26144980 is an abundant number, since it is smaller than the sum of its proper divisors (32532716).

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

26144980 is a wasteful number, since it uses less digits than its factorization.

26144980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 26144980 is about 5113.2162090019. The cubic root of 26144980 is about 296.7992309684.

The spelling of 26144980 in words is "twenty-six million, one hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 131 170 262 340 524 587 655 1174 1310 2227 2348 2620 2935 4454 5870 8908 9979 11135 11740 19958 22270 39916 44540 49895 76897 99790 153794 199580 307588 384485 768970 1307249 1537940 2614498 5228996 6536245 13072490 26144980