Search a number
-
+
1114553352 = 2331111337361
BaseRepresentation
bin100001001101110…
…1011110000001000
32212200020011202210
41002123223300020
54240311201402
6302332425120
736422355453
oct10233536010
92780204683
101114553352
11522155480
122713181a0
13149ba7c33
14a804a49a
1567cad06c
hex426ebc08

1114553352 has 64 divisors (see below), whose sum is σ = 3066672960. Its totient is φ = 334745600.

The previous prime is 1114553351. The next prime is 1114553381. The reversal of 1114553352 is 2533554111.

It is not an unprimeable number, because it can be changed into a prime (1114553351) 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 15 ways as a sum of consecutive naturals, for example, 11152 + ... + 48512.

It is an arithmetic number, because the mean of its divisors is an integer number (47916765).

Almost surely, 21114553352 is an apocalyptic number.

1114553352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114553352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533336480).

1114553352 is an abundant number, since it is smaller than the sum of its proper divisors (1952119608).

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

1114553352 is a wasteful number, since it uses less digits than its factorization.

1114553352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37494 (or 37490 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 1114553352 is about 33384.9270180421. The cubic root of 1114553352 is about 1036.8126502967.

The spelling of 1114553352 in words is "one billion, one hundred fourteen million, five hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 113 132 226 264 339 452 678 904 1243 1356 2486 2712 3729 4972 7458 9944 14916 29832 37361 74722 112083 149444 224166 298888 410971 448332 821942 896664 1232913 1643884 2465826 3287768 4221793 4931652 8443586 9863304 12665379 16887172 25330758 33774344 46439723 50661516 92879446 101323032 139319169 185758892 278638338 371517784 557276676 1114553352