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5387256 = 233372509
BaseRepresentation
bin10100100011001111111000
3101010200221000
4110203033320
52334343011
6311245000
763535200
oct24431770
911120830
105387256
11304a586
121979760
131168134
14a03400
15716356
hex5233f8

5387256 has 96 divisors (see below), whose sum is σ = 17442000. Its totient is φ = 1536192.

The previous prime is 5387233. The next prime is 5387257. The reversal of 5387256 is 6527835.

5387256 is a `hidden beast` number, since 538 + 72 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5387256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5387257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10330 + ... + 10838.

Almost surely, 25387256 is an apocalyptic number.

5387256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5387256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721000).

5387256 is an abundant number, since it is smaller than the sum of its proper divisors (12054744).

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

5387256 is a wasteful number, since it uses less digits than its factorization.

5387256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 521 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5387256 is about 2321.0463157809. The cubic root of 5387256 is about 175.3029419422.

The spelling of 5387256 in words is "five million, three hundred eighty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 509 588 756 882 1018 1176 1323 1512 1527 1764 2036 2646 3054 3528 3563 4072 4581 5292 6108 7126 9162 10584 10689 12216 13743 14252 18324 21378 24941 27486 28504 32067 36648 42756 49882 54972 64134 74823 85512 96201 99764 109944 128268 149646 192402 199528 224469 256536 299292 384804 448938 598584 673407 769608 897876 1346814 1795752 2693628 5387256