Search a number
-
+
508076856 = 233273121049
BaseRepresentation
bin11110010010001…
…010001100111000
31022102000222102100
4132102022030320
52020031424411
6122225503400
715406403430
oct3622121470
91272028370
10508076856
11240883731
121221a1b60
13813524c1
144b6992c0
152e911456
hex1e48a338

508076856 has 144 divisors (see below), whose sum is σ = 1626534000. Its totient is φ = 140348160.

The previous prime is 508076843. The next prime is 508076857. The reversal of 508076856 is 658670805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508076857) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 483820 + ... + 484868.

It is an arithmetic number, because the mean of its divisors is an integer number (11295375).

Almost surely, 2508076856 is an apocalyptic number.

508076856 is a gapful number since it is divisible by the number (56) 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 508076856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813267000).

508076856 is an abundant number, since it is smaller than the sum of its proper divisors (1118457144).

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

508076856 is a wasteful number, since it uses less digits than its factorization.

508076856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 508076856 is about 22540.5602414847. The cubic root of 508076856 is about 797.9514546382.

The spelling of 508076856 in words is "five hundred eight million, seventy-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 961 1049 1116 1302 1736 1922 1953 2098 2232 2604 2883 3147 3844 3906 4196 5208 5766 6294 6727 7343 7688 7812 8392 8649 9441 11532 12588 13454 14686 15624 17298 18882 20181 22029 23064 25176 26908 29372 32519 34596 37764 40362 44058 53816 58744 60543 65038 66087 69192 75528 80724 88116 97557 121086 130076 132174 161448 176232 195114 227633 242172 260152 264348 292671 390228 455266 484344 528696 585342 682899 780456 910532 1008089 1170684 1365798 1821064 2016178 2048697 2341368 2731596 3024267 4032356 4097394 5463192 6048534 7056623 8064712 8194788 9072801 12097068 14113246 16389576 18145602 21169869 24194136 28226492 36291204 42339738 56452984 63509607 72582408 84679476 127019214 169358952 254038428 508076856