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520008192 = 29321110259
BaseRepresentation
bin11110111111101…
…011001000000000
31100020111011010200
4132333223020000
52031110230232
6123333325200
715612665604
oct3677531000
91306434120
10520008192
11247592940
12126196800
138396c172
144d0c3504
15309bb77c
hex1efeb200

520008192 has 120 divisors (see below), whose sum is σ = 1637372880. Its totient is φ = 157562880.

The previous prime is 520008157. The next prime is 520008227. The reversal of 520008192 is 291800025.

It is an interprime number because it is at equal distance from previous prime (520008157) and next prime (520008227).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45559 + ... + 55817.

It is an arithmetic number, because the mean of its divisors is an integer number (13644774).

Almost surely, 2520008192 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 520008192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818686440).

520008192 is an abundant number, since it is smaller than the sum of its proper divisors (1117364688).

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

520008192 is a wasteful number, since it uses less digits than its factorization.

520008192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10294 (or 10275 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 520008192 is about 22803.6881227577. The cubic root of 520008192 is about 804.1493744886.

The spelling of 520008192 in words is "five hundred twenty million, eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 10259 12672 16896 20518 25344 30777 41036 50688 61554 82072 92331 112849 123108 164144 184662 225698 246216 328288 338547 369324 451396 492432 656576 677094 738648 902792 984864 1015641 1313152 1354188 1477296 1805584 1969728 2031282 2626304 2708376 2954592 3611168 3939456 4062564 5252608 5416752 5909184 7222336 7878912 8125128 10833504 11818368 14444672 15757824 16250256 21667008 23636736 28889344 32500512 43334016 47273472 57778688 65001024 86668032 130002048 173336064 260004096 520008192