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212464848 = 24329315107
BaseRepresentation
bin11001010100111…
…11010011010000
3112210210022222110
430222133103100
5413342333343
633025505320
75156631021
oct1452372320
9483708873
10212464848
11a9a26a92
125b1a2240
133502ca5b
1420308c48
15139bc833
hexca9f4d0

212464848 has 40 divisors (see below), whose sum is σ = 550777248. Its totient is φ = 70575232.

The previous prime is 212464843. The next prime is 212464867. The reversal of 212464848 is 848464212.

212464848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212464843) 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, 6511 + ... + 21617.

Almost surely, 2212464848 is an apocalyptic number.

It is an amenable number.

212464848 is an abundant number, since it is smaller than the sum of its proper divisors (338312400).

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

212464848 is a wasteful number, since it uses less digits than its factorization.

212464848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15411 (or 15405 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 212464848 is about 14576.1739835939. The cubic root of 212464848 is about 596.7086895835.

It can be divided in two parts, 212464 and 848, that added together give a palindrome (213312).

The spelling of 212464848 in words is "two hundred twelve million, four hundred sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 293 586 879 1172 1758 2344 3516 4688 7032 14064 15107 30214 45321 60428 90642 120856 181284 241712 362568 725136 4426351 8852702 13279053 17705404 26558106 35410808 53116212 70821616 106232424 212464848