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4527484416 = 29337135961
BaseRepresentation
bin1000011011101101…
…11110111000000000
3102200112021001001000
410031312332320000
533233014000131
62025131412000
7220123661010
oct41566767000
912615231030
104527484416
111a13713064
12a642b4000
13571caa780
1430d421c40
151b771bce6
hex10ddbee00

4527484416 has 640 divisors, whose sum is σ = 17048908800. Its totient is φ = 1154580480.

The previous prime is 4527484363. The next prime is 4527484417. The reversal of 4527484416 is 6144847254.

4527484416 is a `hidden beast` number, since 4 + 527 + 4 + 84 + 41 + 6 = 666.

It is a super-2 number, since 2×45274844162 = 40996230274245722112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4527484417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74221026 + ... + 74221086.

It is an arithmetic number, because the mean of its divisors is an integer number (26638920).

Almost surely, 24527484416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4527484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524454400).

4527484416 is an abundant number, since it is smaller than the sum of its proper divisors (12521424384).

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

4527484416 is a wasteful number, since it uses less digits than its factorization.

4527484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 4527484416 is about 67286.5842200360. The cubic root of 4527484416 is about 1654.3179728544.

The spelling of 4527484416 in words is "four billion, five hundred twenty-seven million, four hundred eighty-four thousand, four hundred sixteen".