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4482396072 = 23327113832111
BaseRepresentation
bin1000010110010101…
…11110111110101000
3102120101102022110100
410023022332332220
533134443133242
62020441145400
7216035511060
oct41312767650
912511368410
104482396072
1119a0217570
12a5118b260
13565851b8b
143074463a0
151b37b254c
hex10b2befa8

4482396072 has 192 divisors, whose sum is σ = 15182069760. Its totient is φ = 1160668800.

The previous prime is 4482396071. The next prime is 4482396073. The reversal of 4482396072 is 2706932844.

4482396072 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 39 + 607 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4482396071) and next prime (4482396073).

It is not an unprimeable number, because it can be changed into a prime (4482396071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2122297 + ... + 2124407.

It is an arithmetic number, because the mean of its divisors is an integer number (79073280).

Almost surely, 24482396072 is an apocalyptic number.

4482396072 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 4482396072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591034880).

4482396072 is an abundant number, since it is smaller than the sum of its proper divisors (10699673688).

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

4482396072 is a wasteful number, since it uses less digits than its factorization.

4482396072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4482396072 is about 66950.6988163679. The cubic root of 4482396072 is about 1648.8079632670.

The spelling of 4482396072 in words is "four billion, four hundred eighty-two million, three hundred ninety-six thousand, seventy-two".