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212724048 = 24329152819
BaseRepresentation
bin11001010110111…
…10100101010000
3112211021111112110
430223132211100
5413424132143
633035225320
75162060505
oct1453364520
9484244473
10212724048
11aa0937a9
125b2a8240
13350c0a24
14203754ac
1513a1e533
hexcade950

212724048 has 40 divisors (see below), whose sum is σ = 568490400. Its totient is φ = 68462464.

The previous prime is 212724013. The next prime is 212724049. The reversal of 212724048 is 840427212.

212724048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212724049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75018 + ... + 77801.

It is an arithmetic number, because the mean of its divisors is an integer number (14212260).

Almost surely, 2212724048 is an apocalyptic number.

It is an amenable number.

212724048 is an abundant number, since it is smaller than the sum of its proper divisors (355766352).

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

212724048 is a wasteful number, since it uses less digits than its factorization.

212724048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152859 (or 152853 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 212724048 is about 14585.0624955809. The cubic root of 212724048 is about 596.9512458467.

The spelling of 212724048 in words is "two hundred twelve million, seven hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 152819 305638 458457 611276 916914 1222552 1833828 2445104 3667656 4431751 7335312 8863502 13295253 17727004 26590506 35454008 53181012 70908016 106362024 212724048