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4232004480 = 2732511173929
BaseRepresentation
bin1111110000111111…
…0100001110000000
3101220221021002202200
43330033310032000
532131343120410
61535534313200
7206605305324
oct37417641600
911827232680
104232004480
111881946670
129a1358800
13525a03182
142c20a7984
1519b8023c0
hexfc3f4380

4232004480 has 384 divisors, whose sum is σ = 16884223200. Its totient is φ = 965345280.

The previous prime is 4232004479. The next prime is 4232004493. The reversal of 4232004480 is 844002324.

It is a happy number.

4232004480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075156 + ... + 1079084.

Almost surely, 24232004480 is an apocalyptic number.

4232004480 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 4232004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8442111600).

4232004480 is an abundant number, since it is smaller than the sum of its proper divisors (12652218720).

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

4232004480 is a wasteful number, since it uses less digits than its factorization.

4232004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4232004480 is about 65053.8583021791. The cubic root of 4232004480 is about 1617.5164505859.

The spelling of 4232004480 in words is "four billion, two hundred thirty-two million, four thousand, four hundred eighty".