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5004896 = 251353227
BaseRepresentation
bin10011000101111001100000
3100102021102112
4103011321200
52240124041
6255134452
760353351
oct23057140
910367375
105004896
112909286
121814428
1310630a0
14943d28
1568cdeb
hex4c5e60

5004896 has 48 divisors (see below), whose sum is σ = 10859184. Its totient is φ = 2256384.

The previous prime is 5004893. The next prime is 5004929. The reversal of 5004896 is 6984005.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004893) 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, 21935 + ... + 22161.

It is an arithmetic number, because the mean of its divisors is an integer number (226233).

Almost surely, 25004896 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 5004896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429592).

5004896 is an abundant number, since it is smaller than the sum of its proper divisors (5854288).

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

5004896 is a wasteful number, since it uses less digits than its factorization.

5004896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 5004896 is about 2237.1624885108. The cubic root of 5004896 is about 171.0533900749.

The spelling of 5004896 in words is "five million, four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 227 416 424 454 689 848 908 1378 1696 1816 2756 2951 3632 5512 5902 7264 11024 11804 12031 22048 23608 24062 47216 48124 94432 96248 156403 192496 312806 384992 625612 1251224 2502448 5004896