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5248960 = 26547349
BaseRepresentation
bin10100000001011111000000
3100212200012221
4110001133000
52320431320
6304300424
762421043
oct24013700
910780187
105248960
112a65692
121911714
13111a1c2
149a8c5a
156da3aa
hex5017c0

5248960 has 56 divisors (see below), whose sum is σ = 12801600. Its totient is φ = 2049024.

The previous prime is 5248949. The next prime is 5248973. The reversal of 5248960 is 698425.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14866 + ... + 15214.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 25248960 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 5248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400800).

5248960 is an abundant number, since it is smaller than the sum of its proper divisors (7552640).

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

5248960 is a wasteful number, since it uses less digits than its factorization.

5248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 5248960 is about 2291.0608896317. The cubic root of 5248960 is about 173.7898550810.

The spelling of 5248960 in words is "five million, two hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 349 376 470 698 752 940 1396 1504 1745 1880 2792 3008 3490 3760 5584 6980 7520 11168 13960 15040 16403 22336 27920 32806 55840 65612 82015 111680 131224 164030 262448 328060 524896 656120 1049792 1312240 2624480 5248960