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505034640 = 243251131731
BaseRepresentation
bin11110000110100…
…011011110010000
31022012022102021200
4132012203132100
52013242102030
6122040351200
715341503125
oct3606433620
91265272250
10505034640
1123a096000
12121175500
1380828886
144b10674c
152e50ed60
hex1e1a3790

505034640 has 480 divisors, whose sum is σ = 2039012352. Its totient is φ = 111513600.

The previous prime is 505034639. The next prime is 505034653. The reversal of 505034640 is 46430505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16291425 + ... + 16291455.

Almost surely, 2505034640 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 505034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019506176).

505034640 is an abundant number, since it is smaller than the sum of its proper divisors (1533977712).

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

505034640 is a wasteful number, since it uses less digits than its factorization.

505034640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 505034640 is about 22472.9757709120. The cubic root of 505034640 is about 796.3556317681.

The spelling of 505034640 in words is "five hundred five million, thirty-four thousand, six hundred forty".