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5526080 = 26572467
BaseRepresentation
bin10101000101001001000000
3101101202100122
4111011021000
52403313310
6314235412
764654010
oct25051100
911352318
105526080
11313490a
121a25b68
1311b6391
14a3bc40
15742555
hex545240

5526080 has 56 divisors (see below), whose sum is σ = 15044928. Its totient is φ = 1893888.

The previous prime is 5526077. The next prime is 5526083. The reversal of 5526080 is 806255.

It is an interprime number because it is at equal distance from previous prime (5526077) and next prime (5526083).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (5526083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007 + ... + 3473.

Almost surely, 25526080 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 5526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522464).

5526080 is an abundant number, since it is smaller than the sum of its proper divisors (9518848).

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

5526080 is a wasteful number, since it uses less digits than its factorization.

5526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5526080 is about 2350.7615787229. The cubic root of 5526080 is about 176.7959814269.

The spelling of 5526080 in words is "five million, five hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 2467 4934 9868 12335 17269 19736 24670 34538 39472 49340 69076 78944 86345 98680 138152 157888 172690 197360 276304 345380 394720 552608 690760 789440 1105216 1381520 2763040 5526080