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31194405 = 32511217337
BaseRepresentation
bin111011011111…
…1110100100101
32011200211200100
41312333310211
530441210110
63032334313
7526101534
oct166776445
964624610
1031194405
1116676900
12a544399
136602838
14420031b
152b12bc0
hex1dbfd25

31194405 has 72 divisors (see below), whose sum is σ = 63115416. Its totient is φ = 14192640.

The previous prime is 31194391. The next prime is 31194407. The reversal of 31194405 is 50449113.

It can be written as a sum of positive squares in 4 ways, for example, as 3663396 + 27531009 = 1914^2 + 5247^2 .

It is not a de Polignac number, because 31194405 - 26 = 31194341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31194407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92397 + ... + 92733.

It is an arithmetic number, because the mean of its divisors is an integer number (876603).

Almost surely, 231194405 is an apocalyptic number.

It is an amenable number.

31194405 is an abundant number, since it is smaller than the sum of its proper divisors (31921011).

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

31194405 is a wasteful number, since it uses less digits than its factorization.

31194405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 31194405 is about 5585.1951622123. The cubic root of 31194405 is about 314.7933641013.

The spelling of 31194405 in words is "thirty-one million, one hundred ninety-four thousand, four hundred five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 121 153 165 187 255 337 363 495 561 605 765 935 1011 1089 1683 1685 1815 2057 2805 3033 3707 5055 5445 5729 6171 8415 10285 11121 15165 17187 18513 18535 28645 30855 33363 40777 51561 55605 63019 85935 92565 122331 166815 189057 203885 257805 315095 366993 567171 611655 693209 945285 1834965 2079627 2835855 3466045 6238881 10398135 31194405