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5425280 = 27572173
BaseRepresentation
bin10100101100100010000000
3101012122002022
4110230202000
52342102110
6312141012
764054100
oct24544200
911178068
105425280
113076103
121997768
13117c533
14a13200
15722755
hex52c880

5425280 has 96 divisors (see below), whose sum is σ = 15174540. Its totient is φ = 1849344.

The previous prime is 5425271. The next prime is 5425283. The reversal of 5425280 is 825245.

It can be written as a sum of positive squares in 2 ways, for example, as 5271616 + 153664 = 2296^2 + 392^2 .

It is not an unprimeable number, because it can be changed into a prime (5425283) 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 11 ways as a sum of consecutive naturals, for example, 31274 + ... + 31446.

Almost surely, 25425280 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 5425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587270).

5425280 is an abundant number, since it is smaller than the sum of its proper divisors (9749260).

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

5425280 is a wasteful number, since it uses less digits than its factorization.

5425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 5425280 is about 2329.2230464256. The cubic root of 5425280 is about 175.7144128746.

The spelling of 5425280 in words is "five million, four hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 173 196 224 245 280 320 346 392 448 490 560 640 692 784 865 896 980 1120 1211 1384 1568 1730 1960 2240 2422 2768 3136 3460 3920 4480 4844 5536 6055 6272 6920 7840 8477 9688 11072 12110 13840 15680 16954 19376 22144 24220 27680 31360 33908 38752 42385 48440 55360 67816 77504 84770 96880 110720 135632 155008 169540 193760 271264 339080 387520 542528 678160 775040 1085056 1356320 2712640 5425280