[go: up one dir, main page]

Search a number
-
+
31391088 = 2436171151
BaseRepresentation
bin111011110111…
…1110101110000
32012001211110220
41313233311300
531014003323
63040453040
7530551131
oct167576560
965054426
1031391088
11167a0653
12a61a180
136671211
144251c88
152b510e3
hex1defd70

31391088 has 80 divisors (see below), whose sum is σ = 84137472. Its totient is φ = 10080000.

The previous prime is 31391081. The next prime is 31391089. The reversal of 31391088 is 88019313.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31391081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207813 + ... + 207963.

Almost surely, 231391088 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 31391088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42068736).

31391088 is an abundant number, since it is smaller than the sum of its proper divisors (52746384).

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

31391088 is a wasteful number, since it uses less digits than its factorization.

31391088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 31391088 is about 5602.7750267167. The cubic root of 31391088 is about 315.4535768539.

The spelling of 31391088 in words is "thirty-one million, three hundred ninety-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 71 122 142 151 183 213 244 284 302 366 426 453 488 568 604 732 852 906 976 1136 1208 1464 1704 1812 2416 2928 3408 3624 4331 7248 8662 9211 10721 12993 17324 18422 21442 25986 27633 32163 34648 36844 42884 51972 55266 64326 69296 73688 85768 103944 110532 128652 147376 171536 207888 221064 257304 442128 514608 653981 1307962 1961943 2615924 3923886 5231848 7847772 10463696 15695544 31391088