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518212944 = 24331319157
BaseRepresentation
bin11110111000110…
…100110101010000
31100010002221112000
4132320310311100
52030130303234
6123231034000
715561510624
oct3670646520
91303087460
10518212944
11246577067
1212566b900
1383490ca2
144cb77184
1530764899
hex1ee34d50

518212944 has 80 divisors (see below), whose sum is σ = 1498981440. Its totient is φ = 171400320.

The previous prime is 518212939. The next prime is 518212949. The reversal of 518212944 is 449212815.

It is an interprime number because it is at equal distance from previous prime (518212939) and next prime (518212949).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 518212899 and 518212908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518212949) 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, 52014 + ... + 61170.

It is an arithmetic number, because the mean of its divisors is an integer number (18737268).

Almost surely, 2518212944 is an apocalyptic number.

518212944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518212944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749490720).

518212944 is an abundant number, since it is smaller than the sum of its proper divisors (980768496).

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

518212944 is a wasteful number, since it uses less digits than its factorization.

518212944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305 (or 9293 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 518212944 is about 22764.2909839072. The cubic root of 518212944 is about 803.2229069857. Note that the first 3 decimals are identical.

The spelling of 518212944 in words is "five hundred eighteen million, two hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 3144 3537 4716 6288 7074 9157 9432 14148 18314 18864 27471 28296 36628 54942 56592 73256 82413 109884 146512 164826 219768 247239 329652 439536 494478 659304 988956 1199567 1318608 1977912 2399134 3598701 3955824 4798268 7197402 9596536 10796103 14394804 19193072 21592206 28789608 32388309 43184412 57579216 64776618 86368824 129553236 172737648 259106472 518212944