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445425640 = 235114124691
BaseRepresentation
bin11010100011001…
…010011111101000
31011001010222002221
4122203022133220
51403012110030
6112111003424
714016025012
oct3243123750
91131128087
10445425640
11209481970
12105209574
137138788a
144322b1b2
1529187e7a
hex1a8ca7e8

445425640 has 64 divisors (see below), whose sum is σ = 1120029120. Its totient is φ = 158016000.

The previous prime is 445425623. The next prime is 445425641. The reversal of 445425640 is 46524544.

It is a junction number, because it is equal to n+sod(n) for n = 445425596 and 445425605.

It is not an unprimeable number, because it can be changed into a prime (445425641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5695 + ... + 30385.

It is an arithmetic number, because the mean of its divisors is an integer number (17500455).

Almost surely, 2445425640 is an apocalyptic number.

445425640 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 445425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560014560).

445425640 is an abundant number, since it is smaller than the sum of its proper divisors (674603480).

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

445425640 is a wasteful number, since it uses less digits than its factorization.

445425640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24754 (or 24750 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 445425640 is about 21105.1093339978. The cubic root of 445425640 is about 763.7040098633.

The spelling of 445425640 in words is "four hundred forty-five million, four hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 18040 24691 49382 98764 123455 197528 246910 271601 493820 543202 987640 1012331 1086404 1358005 2024662 2172808 2716010 4049324 5061655 5432020 8098648 10123310 10864040 11135641 20246620 22271282 40493240 44542564 55678205 89085128 111356410 222712820 445425640