Search a number
-
+
43232532480 = 211325532167
BaseRepresentation
bin101000010000110111…
…000001100000000000
311010120221122012102200
4220100313001200000
51202020012014410
631505531113200
73060225314514
oct502067014000
9133527565380
1043232532480
1117375701595
1284665a2800
1340cc9a1987
142141a24144
1511d06ae3c0
hexa10dc1800

43232532480 has 432 divisors, whose sum is σ = 153631099440. Its totient is φ = 11243421696.

The previous prime is 43232532463. The next prime is 43232532481. The reversal of 43232532480 is 8423523234.

43232532480 is a `hidden beast` number, since 4 + 3 + 2 + 325 + 324 + 8 + 0 = 666.

It is a super-3 number, since 3×432325324803 (a number of 33 digits) contains 333 as substring.

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 (43232532481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258877357 + ... + 258877523.

It is an arithmetic number, because the mean of its divisors is an integer number (355627545).

Almost surely, 243232532480 is an apocalyptic number.

43232532480 is a gapful number since it is divisible by the number (40) 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 43232532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76815549720).

43232532480 is an abundant number, since it is smaller than the sum of its proper divisors (110398566960).

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

43232532480 is a wasteful number, since it uses less digits than its factorization.

43232532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 43232532480 in words is "forty-three billion, two hundred thirty-two million, five hundred thirty-two thousand, four hundred eighty".