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5262928 = 2411171759
BaseRepresentation
bin10100000100111001010000
3100220101101021
4110010321100
52321403203
6304445224
762506546
oct24047120
910811337
105262928
112a75130
121919814
131123678
149add96
156de5bd
hex504e50

5262928 has 40 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 2250240.

The previous prime is 5262923. The next prime is 5262931. The reversal of 5262928 is 8292625.

It is a super-2 number, since 2×52629282 = 55396822266368, which contains 22 as substring.

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 Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 5262893 and 5262902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5262923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2113 + ... + 3871.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 25262928 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 5262928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

5262928 is an abundant number, since it is smaller than the sum of its proper divisors (6522032).

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

5262928 is a wasteful number, since it uses less digits than its factorization.

5262928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1789 counting only the distinct ones).

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

The square root of 5262928 is about 2294.1072337622. The cubic root of 5262928 is about 173.9438758524.

The spelling of 5262928 in words is "five million, two hundred sixty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 1759 2992 3518 7036 14072 19349 28144 29903 38698 59806 77396 119612 154792 239224 309584 328933 478448 657866 1315732 2631464 5262928