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5225688 = 2333131861
BaseRepresentation
bin10011111011110011011000
3100211111022000
4103323303120
52314210223
6304001000
762263146
oct23736330
910744260
105225688
112a4a156
121900160
13110c730
149a0596
156d3543
hex4fbcd8

5225688 has 64 divisors (see below), whose sum is σ = 15640800. Its totient is φ = 1607040.

The previous prime is 5225683. The next prime is 5225699. The reversal of 5225688 is 8865225.

5225688 is a `hidden beast` number, since 522 + 56 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5225683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878 + ... + 3738.

Almost surely, 25225688 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 5225688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7820400).

5225688 is an abundant number, since it is smaller than the sum of its proper divisors (10415112).

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

5225688 is a wasteful number, since it uses less digits than its factorization.

5225688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1879 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 5225688 is about 2285.9763778307. The cubic root of 5225688 is about 173.5326340018.

The spelling of 5225688 in words is "five million, two hundred twenty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 1861 2808 3722 5583 7444 11166 14888 16749 22332 24193 33498 44664 48386 50247 66996 72579 96772 100494 133992 145158 193544 200988 217737 290316 401976 435474 580632 653211 870948 1306422 1741896 2612844 5225688