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522442000 = 2453972693
BaseRepresentation
bin11111001000111…
…101010100010000
31100102001210200201
4133020331110100
52032221121000
6123501424544
715642453343
oct3710752420
91312053621
10522442000
112489a5453
12126b6b154
1384311ba2
144d55845a
1530cec96a
hex1f23d510

522442000 has 80 divisors (see below), whose sum is σ = 1276762032. Its totient is φ = 206745600.

The previous prime is 522441979. The next prime is 522442007. The reversal of 522442000 is 244225.

It can be written as a sum of positive squares in 8 ways, for example, as 204604416 + 317837584 = 14304^2 + 17828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (522442007) 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, 192654 + ... + 195346.

Almost surely, 2522442000 is an apocalyptic number.

522442000 is a gapful number since it is divisible by the number (50) 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 522442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638381016).

522442000 is an abundant number, since it is smaller than the sum of its proper divisors (754320032).

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

522442000 is a wasteful number, since it uses less digits than its factorization.

522442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 522442000 is about 22856.9901780615. The cubic root of 522442000 is about 805.4019827912.

Adding to 522442000 its reverse (244225), we get a palindrome (522686225).

The spelling of 522442000 in words is "five hundred twenty-two million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 970 1000 1552 1940 2000 2425 2693 3880 4850 5386 7760 9700 10772 12125 13465 19400 21544 24250 26930 38800 43088 48500 53860 67325 97000 107720 134650 194000 215440 261221 269300 336625 522442 538600 673250 1044884 1077200 1306105 1346500 2089768 2612210 2693000 4179536 5224420 5386000 6530525 10448840 13061050 20897680 26122100 32652625 52244200 65305250 104488400 130610500 261221000 522442000