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516025056 = 253231032269
BaseRepresentation
bin11110110000011…
…110101011100000
31022221222210022010
4132300132223200
52024100300211
6123112112520
715534066141
oct3660365340
91287883263
10516025056
11245312298
12124995740
1382ba6191
144c767ac8
15304814a6
hex1ec1eae0

516025056 has 96 divisors (see below), whose sum is σ = 1427811840. Its totient is φ = 162860544.

The previous prime is 516025049. The next prime is 516025061. The reversal of 516025056 is 650520615.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226290 + ... + 228558.

It is an arithmetic number, because the mean of its divisors is an integer number (14873040).

Almost surely, 2516025056 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 516025056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713905920).

516025056 is an abundant number, since it is smaller than the sum of its proper divisors (911786784).

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

516025056 is a wasteful number, since it uses less digits than its factorization.

516025056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 516025056 is about 22716.1848909539. The cubic root of 516025056 is about 802.0909136723.

The spelling of 516025056 in words is "five hundred sixteen million, twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 103 138 184 206 276 309 368 412 552 618 736 824 1104 1236 1648 2208 2269 2369 2472 3296 4538 4738 4944 6807 7107 9076 9476 9888 13614 14214 18152 18952 27228 28428 36304 37904 52187 54456 56856 72608 75808 104374 108912 113712 156561 208748 217824 227424 233707 313122 417496 467414 626244 701121 834992 934828 1252488 1402242 1669984 1869656 2504976 2804484 3739312 5009952 5375261 5608968 7478624 10750522 11217936 16125783 21501044 22435872 32251566 43002088 64503132 86004176 129006264 172008352 258012528 516025056