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212542944 = 2533171419
BaseRepresentation
bin11001010101100…
…10010111100000
3112210221022002220
430222302113200
5413402333234
633031311040
75160404505
oct1452622740
9483838086
10212542944
11a9a7a729
125b21b480
1335059473
14203294ac
15139d5a49
hexcab25e0

212542944 has 48 divisors (see below), whose sum is σ = 575930880. Its totient is φ = 68561280.

The previous prime is 212542933. The next prime is 212542951. The reversal of 212542944 is 449245212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 32734 + ... + 38685.

It is an arithmetic number, because the mean of its divisors is an integer number (11998560).

Almost surely, 2212542944 is an apocalyptic number.

212542944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212542944 is an abundant number, since it is smaller than the sum of its proper divisors (363387936).

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

212542944 is a wasteful number, since it uses less digits than its factorization.

212542944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71463 (or 71455 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 212542944 is about 14578.8526297511. The cubic root of 212542944 is about 596.7817916421.

The spelling of 212542944 in words is "two hundred twelve million, five hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 71419 142838 214257 285676 428514 571352 857028 1142704 1714056 2213989 2285408 3428112 4427978 6641967 6856224 8855956 13283934 17711912 26567868 35423824 53135736 70847648 106271472 212542944