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514055304 = 233278771163
BaseRepresentation
bin11110101000111…
…101110010001000
31022211021201022100
4132220331302020
52023044232204
6123001553400
715511253340
oct3650756210
91284251270
10514055304
112441973a4
121241a5860
1382666749
144c3b3d20
15301e2a39
hex1ea3dc88

514055304 has 96 divisors (see below), whose sum is σ = 1594307520. Its totient is φ = 146579328.

The previous prime is 514055303. The next prime is 514055369. The reversal of 514055304 is 403550415.

It is not an unprimeable number, because it can be changed into a prime (514055303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441427 + ... + 442589.

It is an arithmetic number, because the mean of its divisors is an integer number (16607370).

Almost surely, 2514055304 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 514055304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797153760).

514055304 is an abundant number, since it is smaller than the sum of its proper divisors (1080252216).

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

514055304 is a wasteful number, since it uses less digits than its factorization.

514055304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 514055304 is about 22672.7877421370. The cubic root of 514055304 is about 801.0690416345.

The spelling of 514055304 in words is "five hundred fourteen million, fifty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 877 1163 1754 2326 2631 3489 3508 4652 5262 6139 6978 7016 7893 8141 9304 10467 10524 12278 13956 15786 16282 18417 20934 21048 24423 24556 27912 31572 32564 36834 41868 48846 49112 55251 63144 65128 73269 73668 83736 97692 110502 146538 147336 195384 221004 293076 442008 586152 1019951 2039902 3059853 4079804 6119706 7139657 8159608 9179559 12239412 14279314 18359118 21418971 24478824 28558628 36718236 42837942 57117256 64256913 73436472 85675884 128513826 171351768 257027652 514055304