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27611142 = 23131931601
BaseRepresentation
bin110100101010…
…1000000000110
31220221210100220
41221111000012
524032024032
62423445210
7453455646
oct151250006
956853326
1027611142
1114649729
1292b6806
135949870
14394a526
15265612c
hex1a55006

27611142 has 64 divisors (see below), whose sum is σ = 64727040. Its totient is φ = 7776000.

The previous prime is 27611113. The next prime is 27611149. The reversal of 27611142 is 24111672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27611149) 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, 45642 + ... + 46242.

It is an arithmetic number, because the mean of its divisors is an integer number (1011360).

Almost surely, 227611142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27611142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32363520).

27611142 is an abundant number, since it is smaller than the sum of its proper divisors (37115898).

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

27611142 is a wasteful number, since it uses less digits than its factorization.

27611142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669.

The product of its digits is 672, while the sum is 24.

The square root of 27611142 is about 5254.6305293522. The cubic root of 27611142 is about 302.2466225153.

The spelling of 27611142 in words is "twenty-seven million, six hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 186 247 403 494 589 601 741 806 1178 1202 1209 1482 1767 1803 2418 3534 3606 7657 7813 11419 15314 15626 18631 22838 22971 23439 34257 37262 45942 46878 55893 68514 111786 148447 242203 296894 353989 445341 484406 707978 726609 890682 1061967 1453218 2123934 4601857 9203714 13805571 27611142