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512424912 = 24323597867
BaseRepresentation
bin11110100010101…
…111101111010000
31022201012212211110
4132202233233100
52022140044122
6122503013320
715461353116
oct3642575720
91281185743
10512424912
1124328346a
1212373a240
138221560c
144c0abab6
152eebe90c
hex1e8afbd0

512424912 has 80 divisors (see below), whose sum is σ = 1404910080. Its totient is φ = 160592256.

The previous prime is 512424883. The next prime is 512424917. The reversal of 512424912 is 219424215.

It is a self number, because there is not a number n which added to its sum of digits gives 512424912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512424917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61203 + ... + 69069.

It is an arithmetic number, because the mean of its divisors is an integer number (17561376).

Almost surely, 2512424912 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 512424912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702455040).

512424912 is an abundant number, since it is smaller than the sum of its proper divisors (892485168).

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

512424912 is a wasteful number, since it uses less digits than its factorization.

512424912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7954 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 512424912 is about 22636.8043681081. The cubic root of 512424912 is about 800.2212471398.

The spelling of 512424912 in words is "five hundred twelve million, four hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 59 69 92 118 138 177 184 236 276 354 368 472 552 708 944 1104 1357 1416 2714 2832 4071 5428 7867 8142 10856 15734 16284 21712 23601 31468 32568 47202 62936 65136 94404 125872 180941 188808 361882 377616 464153 542823 723764 928306 1085646 1392459 1447528 1856612 2171292 2784918 2895056 3713224 4342584 5569836 7426448 8685168 10675519 11139672 21351038 22279344 32026557 42702076 64053114 85404152 128106228 170808304 256212456 512424912