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505313032 = 23717231223
BaseRepresentation
bin11110000111100…
…111011100001000
31022012211120011111
4132013213130020
52013330004112
6122050340104
715344042560
oct3607473410
91265746144
10505313032
1123a266184
1212128a634
13808c54c3
144b179da0
152e5675a7
hex1e1e7708

505313032 has 48 divisors (see below), whose sum is σ = 1150292160. Its totient is φ = 203817216.

The previous prime is 505313021. The next prime is 505313041. The reversal of 505313032 is 230313505.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 505312994 and 505313012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573 + ... + 31795.

It is an arithmetic number, because the mean of its divisors is an integer number (23964420).

Almost surely, 2505313032 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 505313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575146080).

505313032 is an abundant number, since it is smaller than the sum of its proper divisors (644979128).

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

505313032 is a wasteful number, since it uses less digits than its factorization.

505313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31270 (or 31249 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 505313032 is about 22479.1688458448. The cubic root of 505313032 is about 796.5019308507.

Adding to 505313032 its reverse (230313505), we get a palindrome (735626537).

The spelling of 505313032 in words is "five hundred five million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 952 1156 2023 2312 4046 8092 16184 31223 62446 124892 218561 249784 437122 530791 874244 1061582 1748488 2123164 3715537 4246328 7431074 9023447 14862148 18046894 29724296 36093788 63164129 72187576 126328258 252656516 505313032