Search a number
-
+
440556116 = 2271113195791
BaseRepresentation
bin11010010000100…
…101101001010100
31010200222120101012
4122100211221110
51400240243431
6111414351352
713626444110
oct3220455124
91120876335
10440556116
11206756370
1210365b558
13703712c0
1442720740
1528a2522b
hex1a425a54

440556116 has 96 divisors (see below), whose sum is σ = 1089822720. Its totient is φ = 150076800.

The previous prime is 440556107. The next prime is 440556131. The reversal of 440556116 is 611655044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73181 + ... + 78971.

It is an arithmetic number, because the mean of its divisors is an integer number (11352320).

Almost surely, 2440556116 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 440556116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544911360).

440556116 is an abundant number, since it is smaller than the sum of its proper divisors (649266604).

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

440556116 is a wasteful number, since it uses less digits than its factorization.

440556116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 440556116 is about 20989.4286725485. The cubic root of 440556116 is about 760.9107940213.

The spelling of 440556116 in words is "four hundred forty million, five hundred fifty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 364 418 494 532 572 836 988 1001 1463 1729 2002 2717 2926 3458 4004 5434 5791 5852 6916 10868 11582 19019 23164 38038 40537 63701 75283 76076 81074 110029 127402 150566 162148 220058 254804 301132 440116 445907 526981 770203 828113 891814 1053962 1210319 1430377 1540406 1656226 1783628 2107924 2420638 2860754 3080812 3312452 4841276 5721508 5796791 8472233 10012639 11593582 15734147 16944466 20025278 23187164 31468294 33888932 40050556 62936588 110139029 220278058 440556116