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31109472 = 2532109991
BaseRepresentation
bin111011010101…
…1000101100000
32011112112011200
41312223011200
530431000342
63030441200
7525266112
oct166530540
964475150
1031109472
1116619009
12a503200
1365a2c94
1441bb3b2
152ae794c
hex1dab160

31109472 has 72 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 10264320.

The previous prime is 31109467. The next prime is 31109483. The reversal of 31109472 is 27490113.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30897 + ... + 31887.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 231109472 is an apocalyptic number.

31109472 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 31109472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

31109472 is an abundant number, since it is smaller than the sum of its proper divisors (58259808).

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

31109472 is a wasteful number, since it uses less digits than its factorization.

31109472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 31109472 is about 5577.5865748548. The cubic root of 31109472 is about 314.5074084779.

Adding to 31109472 its reverse (27490113), we get a palindrome (58599585).

The spelling of 31109472 in words is "thirty-one million, one hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 991 1308 1744 1962 1982 2616 2973 3488 3924 3964 5232 5946 7848 7928 8919 10464 11892 15696 15856 17838 23784 31392 31712 35676 47568 71352 95136 108019 142704 216038 285408 324057 432076 648114 864152 972171 1296228 1728304 1944342 2592456 3456608 3888684 5184912 7777368 10369824 15554736 31109472