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212539956 = 223291016047
BaseRepresentation
bin11001010101100…
…01101000110100
3112210221011000020
430222301220310
5413402234311
633031245140
75160363006
oct1452615064
9483834006
10212539956
11a9a78462
125b2197b0
1335057cb5
1420328376
15139d4c06
hexcab1a34

212539956 has 48 divisors (see below), whose sum is σ = 518192640. Its totient is φ = 67715200.

The previous prime is 212539931. The next prime is 212539993. The reversal of 212539956 is 659935212.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 32125 + ... + 38171.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2212539956 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 212539956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

212539956 is an abundant number, since it is smaller than the sum of its proper divisors (305652684).

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

212539956 is a wasteful number, since it uses less digits than its factorization.

212539956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6182 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 212539956 is about 14578.7501521907. The cubic root of 212539956 is about 596.7789950428.

The spelling of 212539956 in words is "two hundred twelve million, five hundred thirty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 606 1212 2929 5858 6047 8787 11716 12094 17574 18141 24188 35148 36282 72564 175363 350726 526089 610747 701452 1052178 1221494 1832241 2104356 2442988 3664482 7328964 17711663 35423326 53134989 70846652 106269978 212539956