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516742290 = 232522325747
BaseRepresentation
bin11110110011001…
…101110010010010
31100000100020011100
4132303031302102
52024241223130
6123135325230
715543144201
oct3663156222
91300306140
10516742290
11245762149
12125080816
138309778c
144c8b3238
1530573c60
hex1eccdc92

516742290 has 48 divisors (see below), whose sum is σ = 1349607168. Its totient is φ = 137174688.

The previous prime is 516742283. The next prime is 516742301. The reversal of 516742290 is 92247615.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7197 + ... + 32943.

It is an arithmetic number, because the mean of its divisors is an integer number (28116816).

Almost surely, 2516742290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516742290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674803584).

516742290 is an abundant number, since it is smaller than the sum of its proper divisors (832864878).

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

516742290 is a wasteful number, since it uses less digits than its factorization.

516742290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25983 (or 25980 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 516742290 is about 22731.9662589931. The cubic root of 516742290 is about 802.4623559365.

The spelling of 516742290 in words is "five hundred sixteen million, seven hundred forty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 2007 2230 3345 4014 6690 10035 20070 25747 51494 77241 128735 154482 231723 257470 386205 463446 772410 1158615 2317230 5741581 11483162 17224743 28707905 34449486 51674229 57415810 86123715 103348458 172247430 258371145 516742290