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5438240 = 25541829
BaseRepresentation
bin10100101111101100100000
3101020021212022
4110233230200
52343010430
6312321012
764136633
oct24575440
911207768
105438240
113084915
1219a3168
1311853c2
14a17c1a
157264e5
hex52fb20

5438240 has 48 divisors (see below), whose sum is σ = 13177080. Its totient is φ = 2119680.

The previous prime is 5438233. The next prime is 5438263. The reversal of 5438240 is 428345.

It can be written as a sum of positive squares in 4 ways, for example, as 3139984 + 2298256 = 1772^2 + 1516^2 .

It is an Ulam number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6146 + ... + 6974.

Almost surely, 25438240 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 5438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588540).

5438240 is an abundant number, since it is smaller than the sum of its proper divisors (7738840).

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

5438240 is a wasteful number, since it uses less digits than its factorization.

5438240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 5438240 is about 2332.0034305292. The cubic root of 5438240 is about 175.8542181243.

The spelling of 5438240 in words is "five million, four hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 829 1312 1640 1658 3280 3316 4145 6560 6632 8290 13264 16580 26528 33160 33989 66320 67978 132640 135956 169945 271912 339890 543824 679780 1087648 1359560 2719120 5438240