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506687488 = 2121031201
BaseRepresentation
bin11110001100110…
…111000000000000
31022022102101120021
4132030313000000
52014202444423
6122140023224
715361525666
oct3614670000
91268371507
10506687488
1124001489a
12121831b14
1380c86ca8
144b416c36
152e73995d
hex1e337000

506687488 has 52 divisors (see below), whose sum is σ = 1023940528. Its totient is φ = 250675200.

The previous prime is 506687477. The next prime is 506687501. The reversal of 506687488 is 884786605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 421288 + ... + 422488.

It is an arithmetic number, because the mean of its divisors is an integer number (19691164).

Almost surely, 2506687488 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 506687488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511970264).

506687488 is an abundant number, since it is smaller than the sum of its proper divisors (517253040).

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

506687488 is a wasteful number, since it uses less digits than its factorization.

506687488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The square root of 506687488 is about 22509.7198560977. The cubic root of 506687488 is about 797.2234412169.

The spelling of 506687488 in words is "five hundred six million, six hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1024 1201 1648 2048 2402 3296 4096 4804 6592 9608 13184 19216 26368 38432 52736 76864 105472 123703 153728 210944 247406 307456 421888 494812 614912 989624 1229824 1979248 2459648 3958496 4919296 7916992 15833984 31667968 63335936 126671872 253343744 506687488