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27831342 = 23711107563
BaseRepresentation
bin110101000101…
…0110000101110
31221100222102110
41222022300232
524111100332
62432304450
7455363640
oct152126056
957328373
1027831342
111478a110
1293a2126
1359c5b66
1439a6890
15269b4cc
hex1a8ac2e

27831342 has 64 divisors (see below), whose sum is σ = 70170624. Its totient is φ = 7148640.

The previous prime is 27831341. The next prime is 27831347. The reversal of 27831342 is 24313872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27831341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49153 + ... + 49715.

It is an arithmetic number, because the mean of its divisors is an integer number (1096416).

Almost surely, 227831342 is an apocalyptic number.

27831342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27831342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35085312).

27831342 is an abundant number, since it is smaller than the sum of its proper divisors (42339282).

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

27831342 is a wasteful number, since it uses less digits than its factorization.

27831342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693.

The product of its digits is 8064, while the sum is 30.

The square root of 27831342 is about 5275.5418679032. The cubic root of 27831342 is about 303.0479724499.

The spelling of 27831342 in words is "twenty-seven million, eight hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 107 154 214 231 321 462 563 642 749 1126 1177 1498 1689 2247 2354 3378 3531 3941 4494 6193 7062 7882 8239 11823 12386 16478 18579 23646 24717 37158 43351 49434 60241 86702 120482 130053 180723 260106 361446 421687 662651 843374 1265061 1325302 1987953 2530122 3975906 4638557 9277114 13915671 27831342