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5408946720 = 2536579587
BaseRepresentation
bin1010000100110010…
…11111101000100000
3111221221212222000000
411002121133220200
542034142243340
62252420300000
7251016200652
oct50231375040
914857788000
105408946720
112326233801
12106b541600
136827b34b8
143945146d2
15219cd5d30
hex14265fa20

5408946720 has 336 divisors, whose sum is σ = 19434764160. Its totient is φ = 1421701632.

The previous prime is 5408946701. The next prime is 5408946721. The reversal of 5408946720 is 276498045.

It is a happy number.

5408946720 is a `hidden beast` number, since 540 + 89 + 4 + 6 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5408946721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9214267 + ... + 9214853.

It is an arithmetic number, because the mean of its divisors is an integer number (57841560).

Almost surely, 25408946720 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 5408946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717382080).

5408946720 is an abundant number, since it is smaller than the sum of its proper divisors (14025817440).

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

5408946720 is an equidigital number, since it uses as much as digits as its factorization.

5408946720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5408946720 is about 73545.5418091403. The cubic root of 5408946720 is about 1755.3790108449.

The spelling of 5408946720 in words is "five billion, four hundred eight million, nine hundred forty-six thousand, seven hundred twenty".