Search a number
-
+
501325552 = 247132931383
BaseRepresentation
bin11101111000011…
…001111011110000
31021221022222101001
4131320121323300
52011314404202
6121425051344
715265124350
oct3570317360
91257288331
10501325552
11237a92342
1211ba86b54
137cb2a550
144a81cb60
152e02ad87
hex1de19ef0

501325552 has 160 divisors (see below), whose sum is σ = 1279918080. Its totient is φ = 184826880.

The previous prime is 501325541. The next prime is 501325567. The reversal of 501325552 is 255523105.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 501325552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308753 + ... + 1309135.

It is an arithmetic number, because the mean of its divisors is an integer number (7999488).

Almost surely, 2501325552 is an apocalyptic number.

501325552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501325552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639959040).

501325552 is an abundant number, since it is smaller than the sum of its proper divisors (778592528).

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

501325552 is a wasteful number, since it uses less digits than its factorization.

501325552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 501325552 is about 22390.3003999500. The cubic root of 501325552 is about 794.4013012855.

Adding to 501325552 its reverse (255523105), we get a palindrome (756848657).

The spelling of 501325552 in words is "five hundred one million, three hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 31 52 56 58 62 91 104 112 116 124 182 203 208 217 232 248 364 377 383 403 406 434 464 496 728 754 766 806 812 868 899 1456 1508 1532 1612 1624 1736 1798 2639 2681 2821 3016 3064 3224 3248 3472 3596 4979 5278 5362 5642 6032 6128 6293 6448 7192 9958 10556 10724 11107 11284 11687 11873 12586 14384 19916 21112 21448 22214 22568 23374 23746 25172 34853 39832 42224 42896 44428 45136 46748 47492 50344 69706 77749 79664 81809 83111 88856 93496 94984 100688 139412 144391 154349 155498 163618 166222 177712 186992 189968 278824 288782 308698 310996 327236 332444 344317 557648 577564 617396 621992 654472 664888 688634 1010737 1080443 1155128 1234792 1243984 1308944 1329776 1377268 2021474 2160886 2310256 2410219 2469584 2754536 4042948 4321772 4476121 4820438 5509072 8085896 8643544 8952242 9640876 16171792 17287088 17904484 19281752 31332847 35808968 38563504 62665694 71617936 125331388 250662776 501325552