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5419008 = 2123372
BaseRepresentation
bin10100101011000000000000
3101012022111000
4110223000000
52341402013
6312052000
764026600
oct24530000
911168430
105419008
113071421
121994000
13117971a
14a10c00
15720973
hex52b000

5419008 has 156 divisors (see below), whose sum is σ = 18675480. Its totient is φ = 1548288.

The previous prime is 5418991. The next prime is 5419013. The reversal of 5419008 is 8009145.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5419008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774141 + ... + 774147.

Almost surely, 25419008 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 5419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9337740).

5419008 is an abundant number, since it is smaller than the sum of its proper divisors (13256472).

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

5419008 is an equidigital number, since it uses as much as digits as its factorization.

5419008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5419008 is about 2327.8762853726. The cubic root of 5419008 is about 175.6466740811.

Multiplying 5419008 by its sum of digits (27), we get a square (146313216 = 120962).

5419008 divided by its sum of digits (27) gives a square (200704 = 4482).

The spelling of 5419008 in words is "five million, four hundred nineteen thousand, eight".