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5007888 = 243283419
BaseRepresentation
bin10011000110101000010000
3100102102112100
4103012220100
52240223023
6255200400
760365154
oct23065020
910372470
105007888
112910556
121816100
131064562
14945064
1568dc43
hex4c6a10

5007888 has 60 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 1645248.

The previous prime is 5007881. The next prime is 5007907. The reversal of 5007888 is 8887005.

5007888 is a `hidden beast` number, since 500 + 78 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5007881) 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, 11743 + ... + 12161.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 25007888 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 5007888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

5007888 is an abundant number, since it is smaller than the sum of its proper divisors (9209952).

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

5007888 is a wasteful number, since it uses less digits than its factorization.

5007888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5007888 is about 2237.8310928218. The cubic root of 5007888 is about 171.0874693572.

The spelling of 5007888 in words is "five million, seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 419 498 664 747 838 996 1257 1328 1494 1676 1992 2514 2988 3352 3771 3984 5028 5976 6704 7542 10056 11952 15084 20112 30168 34777 60336 69554 104331 139108 208662 278216 312993 417324 556432 625986 834648 1251972 1669296 2503944 5007888