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26552980 = 22517292693
BaseRepresentation
bin110010101001…
…0101010010100
31211222000211201
41211102222110
523244143410
62345042244
7441460636
oct145225224
954860751
1026552980
1113a96713
128a86384
13566902c
143752a56
1524e783a
hex1952a94

26552980 has 48 divisors (see below), whose sum is σ = 61099920. Its totient is φ = 9648128.

The previous prime is 26552969. The next prime is 26552987. The reversal of 26552980 is 8925562.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 51076 + 26501904 = 226^2 + 5148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26552987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8514 + ... + 11206.

It is an arithmetic number, because the mean of its divisors is an integer number (1272915).

Almost surely, 226552980 is an apocalyptic number.

26552980 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 26552980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30549960).

26552980 is an abundant number, since it is smaller than the sum of its proper divisors (34546940).

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

26552980 is a wasteful number, since it uses less digits than its factorization.

26552980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 26552980 is about 5152.9583735947. The cubic root of 26552980 is about 298.3351483579.

The spelling of 26552980 in words is "twenty-six million, five hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 2693 4930 5386 9860 10772 13465 26930 45781 53860 78097 91562 156194 183124 228905 312388 390485 457810 780970 915620 1327649 1561940 2655298 5310596 6638245 13276490 26552980