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31245144 = 233721632
BaseRepresentation
bin111011100110…
…0001101011000
32011210102021120
41313030031120
530444321034
63033405240
7526402500
oct167141530
964712246
1031245144
1116700a37
12a569820
13661c968
144214a00
152b22c49
hex1dcc358

31245144 has 72 divisors (see below), whose sum is σ = 91426860. Its totient is φ = 8872416.

The previous prime is 31245121. The next prime is 31245163. The reversal of 31245144 is 44154213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 191607 + ... + 191769.

Almost surely, 231245144 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 31245144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45713430).

31245144 is an abundant number, since it is smaller than the sum of its proper divisors (60181716).

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

31245144 is a wasteful number, since it uses less digits than its factorization.

31245144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 175 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 31245144 is about 5589.7355930312. The cubic root of 31245144 is about 314.9639464909.

Multiplying 31245144 by its sum of digits (24), we get a square (749883456 = 273842).

31245144 divided by its sum of digits (24) gives a square (1301881 = 11412).

Adding to 31245144 its reverse (44154213), we get a palindrome (75399357).

The spelling of 31245144 in words is "thirty-one million, two hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 163 168 196 294 326 392 489 588 652 978 1141 1176 1304 1956 2282 3423 3912 4564 6846 7987 9128 13692 15974 23961 26569 27384 31948 47922 53138 63896 79707 95844 106276 159414 185983 191688 212552 318828 371966 557949 637656 743932 1115898 1301881 1487864 2231796 2603762 3905643 4463592 5207524 7811286 10415048 15622572 31245144