Search a number
-
+
5409461232 = 24347343283
BaseRepresentation
bin1010000100110110…
…11101001111110000
3111221222212002210000
411002123131033300
542034310224412
62252435310000
7251023443000
oct50233351760
914858762700
105409461232
11232655531a
12106b74b300
13682933746
1439460a000
15219d884dc
hex1426dd3f0

5409461232 has 400 divisors, whose sum is σ = 18748998400. Its totient is φ = 1504282752.

The previous prime is 5409461201. The next prime is 5409461237. The reversal of 5409461232 is 2321649045.

It is a happy number.

5409461232 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 4 + 612 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5409461237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19114563 + ... + 19114845.

It is an arithmetic number, because the mean of its divisors is an integer number (46872496).

Almost surely, 25409461232 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 5409461232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374499200).

5409461232 is an abundant number, since it is smaller than the sum of its proper divisors (13339537168).

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

5409461232 is a wasteful number, since it uses less digits than its factorization.

5409461232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5409461232 is about 73549.0396402292. The cubic root of 5409461232 is about 1755.4346677023.

The spelling of 5409461232 in words is "five billion, four hundred nine million, four hundred sixty-one thousand, two hundred thirty-two".