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5208640 = 26541397
BaseRepresentation
bin10011110111101001000000
3100210121220121
4103313221000
52313134030
6303350024
762162353
oct23675100
910717817
105208640
112a38368
1218b2314
131104a48
1499829a
156cd47a
hex4f7a40

5208640 has 56 divisors (see below), whose sum is σ = 12737592. Its totient is φ = 2027520.

The previous prime is 5208617. The next prime is 5208659. The reversal of 5208640 is 468025.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 5125696 = 288^2 + 2264^2 .

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, 12922 + ... + 13318.

It is an arithmetic number, because the mean of its divisors is an integer number (227457).

Almost surely, 25208640 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 5208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368796).

5208640 is an abundant number, since it is smaller than the sum of its proper divisors (7528952).

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

5208640 is a wasteful number, since it uses less digits than its factorization.

5208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5208640 is about 2282.2445092496. The cubic root of 5208640 is about 173.3437206135.

The spelling of 5208640 in words is "five million, two hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 397 410 656 794 820 1312 1588 1640 1985 2624 3176 3280 3970 6352 6560 7940 12704 13120 15880 16277 25408 31760 32554 63520 65108 81385 127040 130216 162770 260432 325540 520864 651080 1041728 1302160 2604320 5208640