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27031248 = 2432296473
BaseRepresentation
bin110011100011…
…1011011010000
31212212022220100
41213013123100
523404444443
62403212400
7445522206
oct147073320
955768810
1027031248
1114292a82
129077100
1357a592a
143839076
15258e3d3
hex19c76d0

27031248 has 60 divisors (see below), whose sum is σ = 78270660. Its totient is φ = 8698368.

The previous prime is 27031247. The next prime is 27031267. The reversal of 27031248 is 84213072.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 17740944 = 3048^2 + 4212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27031247) 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 11 ways as a sum of consecutive naturals, for example, 940 + ... + 7412.

It is an arithmetic number, because the mean of its divisors is an integer number (1304511).

Almost surely, 227031248 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 27031248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39135330).

27031248 is an abundant number, since it is smaller than the sum of its proper divisors (51239412).

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

27031248 is a wasteful number, since it uses less digits than its factorization.

27031248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27031248 is about 5199.1583934325. The cubic root of 27031248 is about 300.1156887147.

The spelling of 27031248 in words is "twenty-seven million, thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 6473 12946 19419 25892 38838 51784 58257 77676 103568 116514 155352 187717 233028 310704 375434 466056 563151 750868 932112 1126302 1501736 1689453 2252604 3003472 3378906 4505208 6757812 9010416 13515624 27031248