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4485414528 = 273872109
BaseRepresentation
bin1000010110101100…
…11111111010000000
3102120121002200000000
410023112133322000
533141231231103
62021030000000
7216103252200
oct41326377200
912517080000
104485414528
1119a1999361
12a521a6000
1356636aa4a
143079d0400
151b3babaa3
hex10b59fe80

4485414528 has 432 divisors, whose sum is σ = 15734282850. Its totient is φ = 1269789696.

The previous prime is 4485414499. The next prime is 4485414553. The reversal of 4485414528 is 8254145844.

4485414528 is a `hidden beast` number, since 4 + 4 + 85 + 41 + 4 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3477225024 + 1008189504 = 58968^2 + 31752^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41150538 + ... + 41150646.

Almost surely, 24485414528 is an apocalyptic number.

4485414528 is a gapful number since it is divisible by the number (48) 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 4485414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867141425).

4485414528 is an abundant number, since it is smaller than the sum of its proper divisors (11248868322).

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

4485414528 is an frugal number, since it uses more digits than its factorization.

4485414528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

The product of its digits is 819200, while the sum is 45.

The square root of 4485414528 is about 66973.2374012187. The cubic root of 4485414528 is about 1649.1779839350.

The spelling of 4485414528 in words is "four billion, four hundred eighty-five million, four hundred fourteen thousand, five hundred twenty-eight".