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31194912 = 253761761
BaseRepresentation
bin111011011111…
…1111100100000
32011200212101010
41312333330200
530441214122
63032340520
7526103160
oct166777440
964625333
1031194912
1116677221
12a544740
136602b38
1442005a0
152b12e0c
hex1dbff20

31194912 has 96 divisors (see below), whose sum is σ = 95243904. Its totient is φ = 8755200.

The previous prime is 31194907. The next prime is 31194913. The reversal of 31194912 is 21949113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 31194912.

It is not an unprimeable number, because it can be changed into a prime (31194913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40612 + ... + 41372.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 231194912 is an apocalyptic number.

31194912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31194912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621952).

31194912 is an abundant number, since it is smaller than the sum of its proper divisors (64048992).

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

31194912 is a wasteful number, since it uses less digits than its factorization.

31194912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 31194912 is about 5585.2405498779. The cubic root of 31194912 is about 314.7950695286.

The spelling of 31194912 in words is "thirty-one million, one hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 761 854 976 1281 1464 1522 1708 1952 2283 2562 2928 3044 3416 4566 5124 5327 5856 6088 6832 9132 10248 10654 12176 13664 15981 18264 20496 21308 24352 31962 36528 40992 42616 46421 63924 73056 85232 92842 127848 139263 170464 185684 255696 278526 324947 371368 511392 557052 649894 742736 974841 1114104 1299788 1485472 1949682 2228208 2599576 3899364 4456416 5199152 7798728 10398304 15597456 31194912