Search a number
-
+
31441296 = 2431753727
BaseRepresentation
bin111011111110…
…0000110010000
32012011101100110
41313330012100
531022110141
63041521320
7531150405
oct167740620
965141313
1031441296
1116825347
12a643240
13668b023
1442662ac
152b60e16
hex1dfc190

31441296 has 80 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 9664512.

The previous prime is 31441283. The next prime is 31441303. The reversal of 31441296 is 69214413.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42885 + ... + 43611.

Almost surely, 231441296 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 31441296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

31441296 is an abundant number, since it is smaller than the sum of its proper divisors (56303088).

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

31441296 is a wasteful number, since it uses less digits than its factorization.

31441296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 31441296 is about 5607.2538733323. The cubic root of 31441296 is about 315.6216697489.

The spelling of 31441296 in words is "thirty-one million, four hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 318 408 424 636 727 816 848 901 1272 1454 1802 2181 2544 2703 2908 3604 4362 5406 5816 7208 8724 10812 11632 12359 14416 17448 21624 24718 34896 37077 38531 43248 49436 74154 77062 98872 115593 148308 154124 197744 231186 296616 308248 462372 593232 616496 655027 924744 1310054 1849488 1965081 2620108 3930162 5240216 7860324 10480432 15720648 31441296