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4332725280 = 25325132329347
BaseRepresentation
bin1000000100100000…
…00010010000100000
3102011221210020201200
410002100002100200
532333134202110
61553533201200
7212240362062
oct40220022040
912157706650
104332725280
11192378a6a4
12a0b030200
13540839a90
142d1605732
151a559a6c0
hex102402420

4332725280 has 576 divisors, whose sum is σ = 17237525760. Its totient is φ = 982130688.

The previous prime is 4332725219. The next prime is 4332725351. The reversal of 4332725280 is 825272334.

4332725280 is a `hidden beast` number, since 4 + 3 + 327 + 252 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12486067 + ... + 12486413.

It is an arithmetic number, because the mean of its divisors is an integer number (29926260).

Almost surely, 24332725280 is an apocalyptic number.

4332725280 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 4332725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618762880).

4332725280 is an abundant number, since it is smaller than the sum of its proper divisors (12904800480).

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

4332725280 is a wasteful number, since it uses less digits than its factorization.

4332725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4332725280 is about 65823.4402018005. The cubic root of 4332725280 is about 1630.2481562286.

The spelling of 4332725280 in words is "four billion, three hundred thirty-two million, seven hundred twenty-five thousand, two hundred eighty".