Search a number
-
+
5419332576 = 2532723797107
BaseRepresentation
bin1010000110000010…
…00111001111100000
3111222200102121201100
411003001013033200
542044322120301
62253431034400
7251203365300
oct50301071740
914880377640
105419332576
112331087859
121072b0ba00
136849ab888
14395a59600
1521ab88286
hex1430473e0

5419332576 has 432 divisors, whose sum is σ = 18775529136. Its totient is φ = 1477066752.

The previous prime is 5419332571. The next prime is 5419332593. The reversal of 5419332576 is 6752339145.

5419332576 is a `hidden beast` number, since 5 + 41 + 9 + 3 + 32 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5419332571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50647915 + ... + 50648021.

It is an arithmetic number, because the mean of its divisors is an integer number (43461873).

Almost surely, 25419332576 is an apocalyptic number.

5419332576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5419332576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387764568).

5419332576 is an abundant number, since it is smaller than the sum of its proper divisors (13356196560).

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

5419332576 is a wasteful number, since it uses less digits than its factorization.

5419332576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 5419332576 is about 73616.1162789779. The cubic root of 5419332576 is about 1756.5018084573.

The spelling of 5419332576 in words is "five billion, four hundred nineteen million, three hundred thirty-two thousand, five hundred seventy-six".