Search a number
-
+
31444056 = 2332789701
BaseRepresentation
bin111011111110…
…0110001011000
32012011112010200
41313330301120
531022202211
63041542200
7531161430
oct167746130
965145120
1031444056
1116827426
12a644960
13668c367
1442672c0
152b61b56
hex1dfcc58

31444056 has 96 divisors (see below), whose sum is σ = 98560800. Its totient is φ = 8870400.

The previous prime is 31444019. The next prime is 31444079. The reversal of 31444056 is 65044413.

It is a super-2 number, since 2×314440562 = 1977457315462272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44506 + ... + 45206.

It is an arithmetic number, because the mean of its divisors is an integer number (1026675).

Almost surely, 231444056 is an apocalyptic number.

31444056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is a pronic number, being equal to 5607×5608.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31444056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49280400).

31444056 is an abundant number, since it is smaller than the sum of its proper divisors (67116744).

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

31444056 is a wasteful number, since it uses less digits than its factorization.

31444056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 31444056 is about 5607.4999777084. The cubic root of 31444056 is about 315.6309048466.

Adding to 31444056 its reverse (65044413), we get a palindrome (96488469).

The spelling of 31444056 in words is "thirty-one million, four hundred forty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 89 126 168 178 252 267 356 504 534 623 701 712 801 1068 1246 1402 1602 1869 2103 2136 2492 2804 3204 3738 4206 4907 4984 5607 5608 6309 6408 7476 8412 9814 11214 12618 14721 14952 16824 19628 22428 25236 29442 39256 44163 44856 50472 58884 62389 88326 117768 124778 176652 187167 249556 353304 374334 436723 499112 561501 748668 873446 1123002 1310169 1497336 1746892 2246004 2620338 3493784 3930507 4492008 5240676 7861014 10481352 15722028 31444056