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505789952 = 291317541
BaseRepresentation
bin11110001001011…
…011111000000000
31022020201210101012
4132021123320000
52013440234302
6122104500052
715351100163
oct3611337000
91266653335
10505789952
1123a561528
1212147a628
1380a315c5
144b261ada
152e60da52
hex1e25be00

505789952 has 40 divisors (see below), whose sum is σ = 1018441512. Its totient is φ = 250931200.

The previous prime is 505789943. The next prime is 505789993. The reversal of 505789952 is 259987505.

It is a self number, because there is not a number n which added to its sum of digits gives 505789952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63302 + ... + 70842.

Almost surely, 2505789952 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 505789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509220756).

505789952 is an abundant number, since it is smaller than the sum of its proper divisors (512651560).

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

505789952 is an equidigital number, since it uses as much as digits as its factorization.

505789952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 50.

The square root of 505789952 is about 22489.7743874855. The cubic root of 505789952 is about 796.7524344869.

The spelling of 505789952 in words is "five hundred five million, seven hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 524 1048 2096 4192 7541 8384 15082 16768 30164 33536 60328 67072 120656 241312 482624 965248 987871 1930496 1975742 3860992 3951484 7902968 15805936 31611872 63223744 126447488 252894976 505789952