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1445046856 = 231121738629
BaseRepresentation
bin101011000100001…
…1010101001001000
310201201002222121221
41112020122221020
510424412444411
6355220211424
750544460411
oct12610325110
93651088557
101445046856
11681767100
12343b39b74
131a04c1516
14d9cba808
1586ce2071
hex5621aa48

1445046856 has 48 divisors (see below), whose sum is σ = 2995731900. Its totient is φ = 652967040.

The previous prime is 1445046839. The next prime is 1445046857. The reversal of 1445046856 is 6586405441.

It can be written as a sum of positive squares in 2 ways, for example, as 1243690756 + 201356100 = 35266^2 + 14190^2 .

It is not an unprimeable number, because it can be changed into a prime (1445046857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163150 + ... + 171778.

Almost surely, 21445046856 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 1445046856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497865950).

1445046856 is an abundant number, since it is smaller than the sum of its proper divisors (1550685044).

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

1445046856 is a wasteful number, since it uses less digits than its factorization.

1445046856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8830 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The square root of 1445046856 is about 38013.7719254483. The cubic root of 1445046856 is about 1130.5609390323.

The spelling of 1445046856 in words is "one billion, four hundred forty-five million, forty-six thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 121 173 242 346 484 692 968 1384 1903 3806 7612 8629 15224 17258 20933 34516 41866 69032 83732 94919 167464 189838 379676 759352 1044109 1492817 2088218 2985634 4176436 5971268 8352872 11942536 16420987 32841974 65683948 131367896 180630857 361261714 722523428 1445046856