Search a number
-
+
505326864 = 24376722447
BaseRepresentation
bin11110000111101…
…010110100010000
31022012212021010210
4132013222310100
52013330424424
6122050524120
715344131110
oct3607526420
91265767123
10505326864
1123a275609
12121296640
13808cb8a3
144b181040
152e56b729
hex1e1ead10

505326864 has 80 divisors (see below), whose sum is σ = 1514252288. Its totient is φ = 142217856.

The previous prime is 505326863. The next prime is 505326881. The reversal of 505326864 is 468623505.

It is not an unprimeable number, because it can be changed into a prime (505326863) 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, 11289 + ... + 33735.

Almost surely, 2505326864 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 505326864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757126144).

505326864 is an abundant number, since it is smaller than the sum of its proper divisors (1008925424).

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

505326864 is a wasteful number, since it uses less digits than its factorization.

505326864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22532 (or 22526 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 505326864 is about 22479.4765063602. The cubic root of 505326864 is about 796.5091983684.

The spelling of 505326864 in words is "five hundred five million, three hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1407 1608 1876 2814 3216 3752 5628 7504 11256 22447 22512 44894 67341 89788 134682 157129 179576 269364 314258 359152 471387 538728 628516 942774 1077456 1257032 1503949 1885548 2514064 3007898 3771096 4511847 6015796 7542192 9023694 10527643 12031592 18047388 21055286 24063184 31582929 36094776 42110572 63165858 72189552 84221144 126331716 168442288 252663432 505326864