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482505156 = 2232725232
BaseRepresentation
bin11100110000100…
…111000111000100
31020121220210122100
4130300213013010
51442010131111
6115513432100
714646140400
oct3460470704
91217823570
10482505156
112283a82a1
1211570b630
1378c6b013
1448120100
152c55e756
hex1cc271c4

482505156 has 81 divisors (see below), whose sum is σ = 1421512911. Its totient is φ = 137595024.

The previous prime is 482505143. The next prime is 482505167. The reversal of 482505156 is 651505284.

The square root of 482505156 is 21966.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×4825051562 = 465622451133168672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 482505156.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 922311 + ... + 922833.

Almost surely, 2482505156 is an apocalyptic number.

482505156 is the 21966-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482505156

482505156 is an abundant number, since it is smaller than the sum of its proper divisors (939007755).

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

482505156 is a wasteful number, since it uses less digits than its factorization.

482505156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The cubic root of 482505156 is about 784.3332979125. Note that the first 3 decimals are identical.

Multiplying 482505156 by its sum of digits (36), we get a square (17370185616 = 1317962).

482505156 divided by its sum of digits (36) gives a square (13402921 = 36612).

The spelling of 482505156 in words is "four hundred eighty-two million, five hundred five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 523 588 882 1046 1569 1764 2092 3138 3661 4707 6276 7322 9414 10983 14644 18828 21966 25627 32949 43932 51254 65898 76881 102508 131796 153762 230643 273529 307524 461286 547058 820587 922572 1094116 1641174 1914703 2461761 3282348 3829406 4923522 5744109 7658812 9847044 11488218 13402921 17232327 22976436 26805842 34464654 40208763 53611684 68929308 80417526 120626289 160835052 241252578 482505156