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5387928 = 2337132467
BaseRepresentation
bin10100100011011010011000
3101010201211220
4110203122120
52334403203
6311252040
763540150
oct24433230
911121756
105387928
113050037
12197a020
131168530
14a03760
15716653
hex523698

5387928 has 64 divisors (see below), whose sum is σ = 16584960. Its totient is φ = 1420416.

The previous prime is 5387923. The next prime is 5387951. The reversal of 5387928 is 8297835.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 57 + 314 + 82 + 74 + 92 + 218 + 86 .

It is a self number, because there is not a number n which added to its sum of digits gives 5387928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5387923) 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, 951 + ... + 3417.

It is an arithmetic number, because the mean of its divisors is an integer number (259140).

Almost surely, 25387928 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 5387928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292480).

5387928 is an abundant number, since it is smaller than the sum of its proper divisors (11197032).

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

5387928 is a wasteful number, since it uses less digits than its factorization.

5387928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2492 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 5387928 is about 2321.1910735655. The cubic root of 5387928 is about 175.3102306670.

The spelling of 5387928 in words is "five million, three hundred eighty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 2467 4934 7401 9868 14802 17269 19736 29604 32071 34538 51807 59208 64142 69076 96213 103614 128284 138152 192426 207228 224497 256568 384852 414456 448994 673491 769704 897988 1346982 1795976 2693964 5387928