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27021344 = 257219907
BaseRepresentation
bin110011100010…
…1000000100000
31212211211022112
41213011000200
523404140334
62403054452
7445451300
oct147050040
955754275
1027021344
1114286599
129071428
1357a127c
143835600
15258b4ce
hex19c5020

27021344 has 72 divisors (see below), whose sum is σ = 65212560. Its totient is φ = 10958976.

The previous prime is 27021341. The next prime is 27021377. The reversal of 27021344 is 44312072.

It is not an unprimeable number, because it can be changed into a prime (27021341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29339 + ... + 30245.

It is an arithmetic number, because the mean of its divisors is an integer number (905730).

Almost surely, 227021344 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 27021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32606280).

27021344 is an abundant number, since it is smaller than the sum of its proper divisors (38191216).

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

27021344 is a wasteful number, since it uses less digits than its factorization.

27021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 27021344 is about 5198.2058443274. The cubic root of 27021344 is about 300.0790310303.

The spelling of 27021344 in words is "twenty-seven million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 907 931 1064 1568 1814 1862 2128 3628 3724 4256 6349 7256 7448 12698 14512 14896 17233 25396 29024 29792 34466 44443 50792 68932 88886 101584 120631 137864 177772 203168 241262 275728 355544 482524 551456 711088 844417 965048 1422176 1688834 1930096 3377668 3860192 6755336 13510672 27021344