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516423264 = 25374611667
BaseRepresentation
bin11110110001111…
…111111001100000
31022222202000112120
4132301333321200
52024201021024
6123124424240
715540345120
oct3661777140
91288660476
10516423264
11245564495
12124b48080
1382cb54c6
144c82cc80
153050e479
hex1ec7fe60

516423264 has 96 divisors (see below), whose sum is σ = 1553561856. Its totient is φ = 147141120.

The previous prime is 516423251. The next prime is 516423269. The reversal of 516423264 is 462324615.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516423269) 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, 308959 + ... + 310625.

It is an arithmetic number, because the mean of its divisors is an integer number (16182936).

Almost surely, 2516423264 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 516423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776780928).

516423264 is an abundant number, since it is smaller than the sum of its proper divisors (1037138592).

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

516423264 is a wasteful number, since it uses less digits than its factorization.

516423264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2140 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 516423264 is about 22724.9480527459. The cubic root of 516423264 is about 802.2971807206.

Adding to 516423264 its reverse (462324615), we get a palindrome (978747879).

The spelling of 516423264 in words is "five hundred sixteen million, four hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 461 672 922 1383 1667 1844 2766 3227 3334 3688 5001 5532 6454 6668 7376 9681 10002 11064 11669 12908 13336 14752 19362 20004 22128 23338 25816 26672 35007 38724 40008 44256 46676 51632 53344 70014 77448 80016 93352 103264 140028 154896 160032 186704 280056 309792 373408 560112 768487 1120224 1536974 2305461 3073948 4610922 5379409 6147896 9221844 10758818 12295792 16138227 18443688 21517636 24591584 32276454 36887376 43035272 64552908 73774752 86070544 129105816 172141088 258211632 516423264