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505031352 = 233737113719
BaseRepresentation
bin11110000110100…
…010101010111000
31022012022020202220
4132012202222320
52013242000402
6122040324040
715341460420
oct3606425270
91265266686
10505031352
1123a093591
12121173620
1380827227
144b105480
152e50ddbc
hex1e1a2ab8

505031352 has 128 divisors (see below), whose sum is σ = 1497139200. Its totient is φ = 138958848.

The previous prime is 505031339. The next prime is 505031357. The reversal of 505031352 is 253130505.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505031357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702049 + ... + 702767.

It is an arithmetic number, because the mean of its divisors is an integer number (11696400).

Almost surely, 2505031352 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 505031352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748569600).

505031352 is an abundant number, since it is smaller than the sum of its proper divisors (992107848).

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

505031352 is a wasteful number, since it uses less digits than its factorization.

505031352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 505031352 is about 22472.9026162621. The cubic root of 505031352 is about 796.3539035547.

Adding to 505031352 its reverse (253130505), we get a palindrome (758161857).

The spelling of 505031352 in words is "five hundred five million, thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 113 148 168 222 226 259 296 339 444 452 518 678 719 777 791 888 904 1036 1356 1438 1554 1582 2072 2157 2373 2712 2876 3108 3164 4181 4314 4746 5033 5752 6216 6328 8362 8628 9492 10066 12543 15099 16724 17256 18984 20132 25086 26603 29267 30198 33448 40264 50172 53206 58534 60396 79809 81247 87801 100344 106412 117068 120792 159618 162494 175602 186221 212824 234136 243741 319236 324988 351204 372442 487482 558663 568729 638472 649976 702408 744884 974964 1117326 1137458 1489768 1706187 1949928 2234652 2274916 3006139 3412374 4469304 4549832 6012278 6824748 9018417 12024556 13649496 18036834 21042973 24049112 36073668 42085946 63128919 72147336 84171892 126257838 168343784 252515676 505031352