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27972414 = 23229411307
BaseRepresentation
bin110101010110…
…1001100111110
31221122010221100
41222231030332
524130104124
62435313530
7456522141
oct152551476
957563840
1027972414
11148760a8
12944b8a6
135a45132
143a02058
1526c81c9
hex1aad33e

27972414 has 48 divisors (see below), whose sum is σ = 64275120. Its totient is φ = 8776320.

The previous prime is 27972401. The next prime is 27972421. The reversal of 27972414 is 41427972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20749 + ... + 22055.

It is an arithmetic number, because the mean of its divisors is an integer number (1339065).

Almost surely, 227972414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27972414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32137560).

27972414 is an abundant number, since it is smaller than the sum of its proper divisors (36302706).

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

27972414 is a wasteful number, since it uses less digits than its factorization.

27972414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1382 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27972414 is about 5288.8953478018. The cubic root of 27972414 is about 303.5591413923.

The spelling of 27972414 in words is "twenty-seven million, nine hundred seventy-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 1307 2378 2614 3567 3921 7134 7842 10701 11763 21402 23526 37903 53587 75806 107174 113709 160761 227418 321522 341127 482283 682254 964566 1554023 3108046 4662069 9324138 13986207 27972414