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4472983872 = 263273729983
BaseRepresentation
bin1000010101001110…
…00101000101000000
3102112201201010100100
410022213011011000
533130040440442
62015503322400
7215562510210
oct41247050500
912481633310
104472983872
111995978a95
12a49bb0400
13563907a26
143060b6240
151b2a5384c
hex10a9c5140

4472983872 has 168 divisors, whose sum is σ = 15049089536. Its totient is φ = 1243413504.

The previous prime is 4472983861. The next prime is 4472983877. The reversal of 4472983872 is 2783892744.

It is a happy number.

4472983872 is a `hidden beast` number, since 4 + 472 + 98 + 3 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×44729838722 = 40015169438344224768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4472983877) 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 23 ways as a sum of consecutive naturals, for example, 134193 + ... + 164175.

Almost surely, 24472983872 is an apocalyptic number.

4472983872 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 4472983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524544768).

4472983872 is an abundant number, since it is smaller than the sum of its proper divisors (10576105664).

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

4472983872 is a wasteful number, since it uses less digits than its factorization.

4472983872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30045 (or 30032 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4472983872 is about 66880.3698554367. The cubic root of 4472983872 is about 1647.6530909600.

The spelling of 4472983872 in words is "four billion, four hundred seventy-two million, nine hundred eighty-three thousand, eight hundred seventy-two".