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4405733472 = 25373671997
BaseRepresentation
bin1000001101001101…
…00010100001100000
3102101001011110010210
410012212202201200
533010331432342
62005102054120
7214115055000
oct40646424140
912331143123
104405733472
111960a15848
12a2b57a340
135529bc8aa
142db1ac000
151abbbc79c
hex1069a2860

4405733472 has 192 divisors, whose sum is σ = 13695091200. Its totient is φ = 1239372288.

The previous prime is 4405733407. The next prime is 4405733533. The reversal of 4405733472 is 2743375044.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4405733472.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2205178 + ... + 2207174.

It is an arithmetic number, because the mean of its divisors is an integer number (71328600).

Almost surely, 24405733472 is an apocalyptic number.

4405733472 is a gapful number since it is divisible by the number (42) 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 4405733472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847545600).

4405733472 is an abundant number, since it is smaller than the sum of its proper divisors (9289357728).

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

4405733472 is a wasteful number, since it uses less digits than its factorization.

4405733472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 39.

The square root of 4405733472 is about 66375.6994087445. The cubic root of 4405733472 is about 1639.3539831161.

The spelling of 4405733472 in words is "four billion, four hundred five million, seven hundred thirty-three thousand, four hundred seventy-two".