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512066484 = 223271892251
BaseRepresentation
bin11110100001011…
…000001110110100
31022200112200011100
4132201120032310
52022042111414
6122451210100
715455331126
oct3641301664
91280480140
10512066484
11243059146
121235a6930
138211b427
144c017216
152ee4d609
hex1e8583b4

512066484 has 72 divisors (see below), whose sum is σ = 1327959360. Its totient is φ = 166320000.

The previous prime is 512066479. The next prime is 512066497. The reversal of 512066484 is 484660215.

512066484 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 6 + 648 + 4 = 666.

It is a super-2 number, since 2×5120664842 = 524424168072244512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226359 + ... + 228609.

It is an arithmetic number, because the mean of its divisors is an integer number (18443880).

Almost surely, 2512066484 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 512066484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663979680).

512066484 is an abundant number, since it is smaller than the sum of its proper divisors (815892876).

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

512066484 is a wasteful number, since it uses less digits than its factorization.

512066484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 512066484 is about 22628.8860530076. The cubic root of 512066484 is about 800.0346255846.

The spelling of 512066484 in words is "five hundred twelve million, sixty-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 89 142 178 213 267 284 356 426 534 639 801 852 1068 1278 1602 2251 2556 3204 4502 6319 6753 9004 12638 13506 18957 20259 25276 27012 37914 40518 56871 75828 81036 113742 159821 200339 227484 319642 400678 479463 601017 639284 801356 958926 1202034 1438389 1803051 1917852 2404068 2876778 3606102 5753556 7212204 14224069 28448138 42672207 56896276 85344414 128016621 170688828 256033242 512066484