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31227904 = 215953
BaseRepresentation
bin111011100100…
…0000000000000
32011202112122001
41313020000000
530443243104
63033153344
7526301311
oct167100000
964675561
1031227904
1116699a94
12a55b854
136614b66
14420c608
152b1caa4
hex1dc8000

31227904 has 32 divisors (see below), whose sum is σ = 62520390. Its totient is φ = 15597568.

The previous prime is 31227899. The next prime is 31227907. The reversal of 31227904 is 40972213.

It can be written as a sum of positive squares in only one way, i.e., 27541504 + 3686400 = 5248^2 + 1920^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (31227907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32292 + ... + 33244.

Almost surely, 231227904 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 31227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31260195).

31227904 is an abundant number, since it is smaller than the sum of its proper divisors (31292486).

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

31227904 is an frugal number, since it uses more digits than its factorization.

31227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 31227904 is about 5588.1932679534. The cubic root of 31227904 is about 314.9060070616.

It can be divided in two parts, 31227 and 904, that added together give a triangular number (32131 = T253).

The spelling of 31227904 in words is "thirty-one million, two hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 953 1024 1906 2048 3812 4096 7624 8192 15248 16384 30496 32768 60992 121984 243968 487936 975872 1951744 3903488 7806976 15613952 31227904