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27031296 = 28361577
BaseRepresentation
bin110011100011…
…1011100000000
31212212022222010
41213013130000
523410000141
62403212520
7445522305
oct147073400
955768863
1027031296
1114293016
129077140
1357a5966
1438390ac
15258e416
hex19c7700

27031296 has 72 divisors (see below), whose sum is σ = 73248784. Its totient is φ = 8847360.

The previous prime is 27031289. The next prime is 27031297. The reversal of 27031296 is 69213072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27031297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46560 + ... + 47136.

Almost surely, 227031296 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 27031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36624392).

27031296 is an abundant number, since it is smaller than the sum of its proper divisors (46217488).

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

27031296 is an equidigital number, since it uses as much as digits as its factorization.

27031296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 27031296 is about 5199.1630095622. The cubic root of 27031296 is about 300.1158663553.

The spelling of 27031296 in words is "twenty-seven million, thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 577 732 768 976 1154 1464 1731 1952 2308 2928 3462 3904 4616 5856 6924 7808 9232 11712 13848 15616 18464 23424 27696 35197 36928 46848 55392 70394 73856 105591 110784 140788 147712 211182 221568 281576 422364 443136 563152 844728 1126304 1689456 2252608 3378912 4505216 6757824 9010432 13515648 27031296