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518429076 = 22311171032243
BaseRepresentation
bin11110111001101…
…001100110010100
31100010111220222220
4132321221212110
52030204212301
6123235422340
715563401014
oct3671514624
91303456886
10518429076
11246704490
121257549b0
1383538489
144cbd1c44
15307a8936
hex1ee69994

518429076 has 96 divisors (see below), whose sum is σ = 1411458048. Its totient is φ = 146357760.

The previous prime is 518429063. The next prime is 518429077. The reversal of 518429076 is 670924815.

It is a super-4 number, since 4×5184290764 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518429077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230011 + ... + 232253.

It is an arithmetic number, because the mean of its divisors is an integer number (14702688).

Almost surely, 2518429076 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 518429076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705729024).

518429076 is an abundant number, since it is smaller than the sum of its proper divisors (893028972).

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

518429076 is a wasteful number, since it uses less digits than its factorization.

518429076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 518429076 is about 22769.0376608235. The cubic root of 518429076 is about 803.3345586700.

The spelling of 518429076 in words is "five hundred eighteen million, four hundred twenty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 103 132 187 204 206 309 374 412 561 618 748 1122 1133 1236 1751 2243 2244 2266 3399 3502 4486 4532 5253 6729 6798 7004 8972 10506 13458 13596 19261 21012 24673 26916 38131 38522 49346 57783 74019 76262 77044 98692 114393 115566 148038 152524 228786 231029 231132 296076 419441 457572 462058 693087 838882 924116 1258323 1386174 1677764 2516646 2541319 2772348 3927493 5033292 5082638 7623957 7854986 10165276 11782479 15247914 15709972 23564958 30495828 43202423 47129916 86404846 129607269 172809692 259214538 518429076