Search a number
-
+
31172288 = 267174093
BaseRepresentation
bin111011011101…
…0011011000000
32011122201100012
41312322123000
530440003123
63032044052
7525650210
oct166723300
964581305
1031172288
1116661224
12a533628
1365c5754
1441d6240
152b0b378
hex1dba6c0

31172288 has 56 divisors (see below), whose sum is σ = 74871072. Its totient is φ = 12570624.

The previous prime is 31172287. The next prime is 31172299. The reversal of 31172288 is 88227113.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (31172287) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5570 + ... + 9662.

Almost surely, 231172288 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 31172288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37435536).

31172288 is an abundant number, since it is smaller than the sum of its proper divisors (43698784).

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

31172288 is a wasteful number, since it uses less digits than its factorization.

31172288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4119 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 31172288 is about 5583.2148445139. The cubic root of 31172288 is about 314.7189497855.

The spelling of 31172288 in words is "thirty-one million, one hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 4093 7616 8186 16372 28651 32744 57302 65488 69581 114604 130976 139162 229208 261952 278324 458416 487067 556648 916832 974134 1113296 1833664 1948268 2226592 3896536 4453184 7793072 15586144 31172288