Search a number
-
+
5336232000 = 2635311172941
BaseRepresentation
bin1001111100001000…
…00111000001000000
3111202220001200011020
410332010013001000
541412033411000
62241301545440
7246144136461
oct47604070100
914686050136
105336232000
1122991890a0
12104b115280
13670704138
143889c6d68
15213720ba0
hex13e107040

5336232000 has 896 divisors, whose sum is σ = 21568135680. Its totient is φ = 1146880000.

The previous prime is 5336231969. The next prime is 5336232059. The reversal of 5336232000 is 2326335.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130151980 + ... + 130152020.

It is an arithmetic number, because the mean of its divisors is an integer number (24071580).

Almost surely, 25336232000 is an apocalyptic number.

5336232000 is a gapful number since it is divisible by the number (50) 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 5336232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784067840).

5336232000 is an abundant number, since it is smaller than the sum of its proper divisors (16231903680).

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

5336232000 is a wasteful number, since it uses less digits than its factorization.

5336232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 5336232000 is about 73049.5174522050. The cubic root of 5336232000 is about 1747.4773994674.

Adding to 5336232000 its reverse (2326335), we get a palindrome (5338558335).

The spelling of 5336232000 in words is "five billion, three hundred thirty-six million, two hundred thirty-two thousand".