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515200056 = 233727711071
BaseRepresentation
bin11110101101010…
…101010000111000
31022220102212121120
4132231111100320
52023342400211
6123042305240
715524061660
oct3655252070
91286385546
10515200056
112448a9478
12124658220
1382977807
144c5d11a0
153036bd06
hex1eb55438

515200056 has 64 divisors (see below), whose sum is σ = 1477447680. Its totient is φ = 146655360.

The previous prime is 515200033. The next prime is 515200057. The reversal of 515200056 is 650002515.

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

It is a junction number, because it is equal to n+sod(n) for n = 515199999 and 515200035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515200057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41001 + ... + 52071.

It is an arithmetic number, because the mean of its divisors is an integer number (23085120).

Almost surely, 2515200056 is an apocalyptic number.

515200056 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 515200056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738723840).

515200056 is an abundant number, since it is smaller than the sum of its proper divisors (962247624).

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

515200056 is a wasteful number, since it uses less digits than its factorization.

515200056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11364 (or 11360 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 515200056 is about 22698.0187681656. The cubic root of 515200056 is about 801.6632354965.

The spelling of 515200056 in words is "five hundred fifteen million, two hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 277 554 831 1108 1662 1939 2216 3324 3878 5817 6648 7756 11071 11634 15512 22142 23268 33213 44284 46536 66426 77497 88568 132852 154994 232491 265704 309988 464982 619976 929964 1859928 3066667 6133334 9200001 12266668 18400002 21466669 24533336 36800004 42933338 64400007 73600008 85866676 128800014 171733352 257600028 515200056