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413021648 = 241312131637
BaseRepresentation
bin11000100111100…
…011010111010000
31001210011200012002
4120213203113100
51321213143043
6104552253132
713143424514
oct3047432720
91053150162
10413021648
111a215a306
12b63a11a8
1367750610
143cbd4144
15263d6bb8
hex189e35d0

413021648 has 40 divisors (see below), whose sum is σ = 863022888. Its totient is φ = 190351872.

The previous prime is 413021611. The next prime is 413021671. The reversal of 413021648 is 846120314.

It can be written as a sum of positive squares in 4 ways, for example, as 62283664 + 350737984 = 7892^2 + 18728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413021648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251486 + ... + 253122.

Almost surely, 2413021648 is an apocalyptic number.

It is an amenable number.

413021648 is an abundant number, since it is smaller than the sum of its proper divisors (450001240).

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

413021648 is a wasteful number, since it uses less digits than its factorization.

413021648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 413021648 is about 20322.9340401429. The cubic root of 413021648 is about 744.7164351808.

The spelling of 413021648 in words is "four hundred thirteen million, twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 1213 1637 2426 3274 4852 6548 9704 13096 15769 19408 21281 26192 31538 42562 63076 85124 126152 170248 252304 340496 1985681 3971362 7942724 15885448 25813853 31770896 51627706 103255412 206510824 413021648