Search a number
-
+
31556096 = 291113431
BaseRepresentation
bin111100001100…
…0001000000000
32012101012211022
41320120020000
531034243341
63044205012
7532136165
oct170301000
965335738
1031556096
11168a3620
12a699768
1366cb360
14429606c
152b84e4b
hex1e18200

31556096 has 80 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 13209600.

The previous prime is 31556081. The next prime is 31556099. The reversal of 31556096 is 69065513.

It is a super-2 number, since 2×315560962 = 1991574389522432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31556099) 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 in 7 ways as a sum of consecutive naturals, for example, 73001 + ... + 73431.

Almost surely, 231556096 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 31556096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37122624).

31556096 is an abundant number, since it is smaller than the sum of its proper divisors (42689152).

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

31556096 is a wasteful number, since it uses less digits than its factorization.

31556096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 31556096 is about 5617.4812861282. The cubic root of 31556096 is about 316.0053409341.

The spelling of 31556096 in words is "thirty-one million, five hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 431 512 572 704 832 862 1144 1408 1664 1724 2288 2816 3328 3448 4576 4741 5603 5632 6656 6896 9152 9482 11206 13792 18304 18964 22412 27584 36608 37928 44824 55168 61633 73216 75856 89648 110336 123266 151712 179296 220672 246532 303424 358592 493064 606848 717184 986128 1213696 1434368 1972256 2427392 2868736 3944512 7889024 15778048 31556096