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4445132640 = 2535132371481
BaseRepresentation
bin1000010001111001…
…10101011101100000
3102110210022010122020
410020330311131200
533100423221030
62013030341440
7215104001244
oct41074653540
912423263566
104445132640
111981185a43
12a407ba880
1355ac05b00
14302506424
151b03a1510
hex108f35760

4445132640 has 288 divisors, whose sum is σ = 15582411936. Its totient is φ = 1063895040.

The previous prime is 4445132639. The next prime is 4445132689. The reversal of 4445132640 is 462315444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3000700 + ... + 3002180.

It is an arithmetic number, because the mean of its divisors is an integer number (54105597).

Almost surely, 24445132640 is an apocalyptic number.

4445132640 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 4445132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791205968).

4445132640 is an abundant number, since it is smaller than the sum of its proper divisors (11137279296).

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

4445132640 is a wasteful number, since it uses less digits than its factorization.

4445132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 4445132640 is about 66671.8279335433. The cubic root of 4445132640 is about 1644.2262403167.

The spelling of 4445132640 in words is "four billion, four hundred forty-five million, one hundred thirty-two thousand, six hundred forty".