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214494048 = 2533248257
BaseRepresentation
bin11001100100011…
…10101101100000
3112221121102112000
430302032231200
5414402302143
633141204000
75213112036
oct1462165540
9487542460
10214494048
1110009260a
125ba00600
1335590572
14206b6556
1513c6dbd3
hexcc8eb60

214494048 has 48 divisors (see below), whose sum is σ = 625610160. Its totient is φ = 71497728.

The previous prime is 214494047. The next prime is 214494073. The reversal of 214494048 is 840494412.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214494043) by changing a digit.

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, 123265 + ... + 124992.

It is an arithmetic number, because the mean of its divisors is an integer number (13033545).

Almost surely, 2214494048 is an apocalyptic number.

It is an amenable number.

214494048 is an abundant number, since it is smaller than the sum of its proper divisors (411116112).

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

214494048 is a wasteful number, since it uses less digits than its factorization.

214494048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248276 (or 248262 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 214494048 is about 14645.6153165376. The cubic root of 214494048 is about 598.6023468039.

The spelling of 214494048 in words is "two hundred fourteen million, four hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 248257 496514 744771 993028 1489542 1986056 2234313 2979084 3972112 4468626 5958168 6702939 7944224 8937252 11916336 13405878 17874504 23832672 26811756 35749008 53623512 71498016 107247024 214494048