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516023016 = 233371733359
BaseRepresentation
bin11110110000011…
…110001011101000
31022221222200111120
4132300132023220
52024100214031
6123112055240
715534060165
oct3660361350
91287880446
10516023016
11245310803
12124994520
1382ba5282
144c76706c
1530480a96
hex1ec1e2e8

516023016 has 64 divisors (see below), whose sum is σ = 1332979200. Its totient is φ = 166341888.

The previous prime is 516022961. The next prime is 516023041. The reversal of 516023016 is 610320615.

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

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, 151945 + ... + 155303.

It is an arithmetic number, because the mean of its divisors is an integer number (20827800).

Almost surely, 2516023016 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 516023016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666489600).

516023016 is an abundant number, since it is smaller than the sum of its proper divisors (816956184).

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

516023016 is a wasteful number, since it uses less digits than its factorization.

516023016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 516023016 is about 22716.1399890034. The cubic root of 516023016 is about 802.0898567032.

The spelling of 516023016 in words is "five hundred sixteen million, twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 173 222 296 346 444 519 692 888 1038 1384 2076 3359 4152 6401 6718 10077 12802 13436 19203 20154 25604 26872 38406 40308 51208 76812 80616 124283 153624 248566 372849 497132 581107 745698 994264 1162214 1491396 1743321 2324428 2982792 3486642 4648856 6973284 13946568 21500959 43001918 64502877 86003836 129005754 172007672 258011508 516023016