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4472856720 = 243356183409
BaseRepresentation
bin1000010101001101…
…00110000010010000
3102112201110122221000
410022212212002100
533130022403340
62015500502000
7215561440413
oct41246460220
912481418830
104472856720
1119958a1502
12a49b4a900
13563891ba7
14306081b7a
151b2a2ad30
hex10a9a6090

4472856720 has 320 divisors, whose sum is σ = 15886483200. Its totient is φ = 1156239360.

The previous prime is 4472856631. The next prime is 4472856721. The reversal of 4472856720 is 276582744.

It is a happy number.

4472856720 is a `hidden beast` number, since 4 + 47 + 28 + 567 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4472856721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10935876 + ... + 10936284.

It is an arithmetic number, because the mean of its divisors is an integer number (49645260).

Almost surely, 24472856720 is an apocalyptic number.

4472856720 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 4472856720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943241600).

4472856720 is an abundant number, since it is smaller than the sum of its proper divisors (11413626480).

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

4472856720 is a wasteful number, since it uses less digits than its factorization.

4472856720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4472856720 is about 66879.4192558518. The cubic root of 4472856720 is about 1647.6374783863.

The spelling of 4472856720 in words is "four billion, four hundred seventy-two million, eight hundred fifty-six thousand, seven hundred twenty".