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5438880 = 253351259
BaseRepresentation
bin10100101111110110100000
3101020022202000
4110233312200
52343021010
6312324000
764141536
oct24576640
911208660
105438880
113085347
1219a3600
131185795
14a18156
157267c0
hex52fda0

5438880 has 96 divisors (see below), whose sum is σ = 19051200. Its totient is φ = 1449216.

The previous prime is 5438831. The next prime is 5438903. The reversal of 5438880 is 888345.

5438880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3691 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 25438880 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 5438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525600).

5438880 is an abundant number, since it is smaller than the sum of its proper divisors (13612320).

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

5438880 is a wasteful number, since it uses less digits than its factorization.

5438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5438880 is about 2332.1406475597. The cubic root of 5438880 is about 175.8611163294.

The spelling of 5438880 in words is "five million, four hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1259 1440 2160 2518 3777 4320 5036 6295 7554 10072 11331 12590 15108 18885 20144 22662 25180 30216 33993 37770 40288 45324 50360 56655 60432 67986 75540 90648 100720 113310 120864 135972 151080 169965 181296 201440 226620 271944 302160 339930 362592 453240 543888 604320 679860 906480 1087776 1359720 1812960 2719440 5438880