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5240648 = 237229461
BaseRepresentation
bin10011111111011101001000
3100212020211002
4103333131020
52320200043
6304154132
762354600
oct23773510
910766732
105240648
112a5a416
121908948
13111649a
149a5c00
156d7bb8
hex4ff748

5240648 has 48 divisors (see below), whose sum is σ = 11850300. Its totient is φ = 2163840.

The previous prime is 5240647. The next prime is 5240663. The reversal of 5240648 is 8460425.

It can be written as a sum of positive squares in 2 ways, for example, as 5207524 + 33124 = 2282^2 + 182^2 .

It is a super-3 number, since 3×52406483 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 5240648.

It is not an unprimeable number, because it can be changed into a prime (5240647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11138 + ... + 11598.

Almost surely, 25240648 is an apocalyptic number.

5240648 is a gapful number since it is divisible by the number (58) 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 5240648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925150).

5240648 is an abundant number, since it is smaller than the sum of its proper divisors (6609652).

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

5240648 is a wasteful number, since it uses less digits than its factorization.

5240648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 5240648 is about 2289.2461641335. The cubic root of 5240648 is about 173.6980715373.

The spelling of 5240648 in words is "five million, two hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 461 812 922 1421 1624 1844 2842 3227 3688 5684 6454 11368 12908 13369 22589 25816 26738 45178 53476 90356 93583 106952 180712 187166 374332 655081 748664 1310162 2620324 5240648