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5282496 = 26341019
BaseRepresentation
bin10100001001101011000000
3100221101020000
4110021223000
52323014441
6305120000
762620602
oct24115300
910841200
105282496
112a888aa
121929000
13112c54b
149b7172
156e52b6
hex509ac0

5282496 has 70 divisors (see below), whose sum is σ = 15674340. Its totient is φ = 1759104.

The previous prime is 5282491. The next prime is 5282503. The reversal of 5282496 is 6942825.

It is a happy number.

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

It is a d-powerful number, because it can be written as 52 + 220 + 85 + 222 + 44 + 94 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 5282496.

It is not an unprimeable number, because it can be changed into a prime (5282491) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4675 + ... + 5693.

Almost surely, 25282496 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 5282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837170).

5282496 is an abundant number, since it is smaller than the sum of its proper divisors (10391844).

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

5282496 is a wasteful number, since it uses less digits than its factorization.

5282496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1024 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5282496 is about 2298.3681167298. The cubic root of 5282496 is about 174.1591884439.

It can be divided in two parts, 5282 and 496, that added together give a triangular number (5778 = T107).

The spelling of 5282496 in words is "five million, two hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1019 1296 1728 2038 2592 3057 4076 5184 6114 8152 9171 12228 16304 18342 24456 27513 32608 36684 48912 55026 65216 73368 82539 97824 110052 146736 165078 195648 220104 293472 330156 440208 586944 660312 880416 1320624 1760832 2641248 5282496