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440522064 = 2435293907
BaseRepresentation
bin11010010000011…
…101010101010000
31010200220211200000
4122100131111100
51400233201224
6111413530000
713626242613
oct3220352520
91120824600
10440522064
11206732824
12103643900
137035b958
144271217a
1528a1a0c9
hex1a41d550

440522064 has 120 divisors (see below), whose sum is σ = 1322936160. Its totient is φ = 141740928.

The previous prime is 440522041. The next prime is 440522113. The reversal of 440522064 is 460225044.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 110799 + ... + 114705.

It is an arithmetic number, because the mean of its divisors is an integer number (11024468).

Almost surely, 2440522064 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 440522064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661468080).

440522064 is an abundant number, since it is smaller than the sum of its proper divisors (882414096).

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

440522064 is a wasteful number, since it uses less digits than its factorization.

440522064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 440522064 is about 20988.6174866283. The cubic root of 440522064 is about 760.8911891015.

The spelling of 440522064 in words is "four hundred forty million, five hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 464 486 522 648 696 783 972 1044 1296 1392 1566 1944 2088 2349 3132 3888 3907 4176 4698 6264 7047 7814 9396 11721 12528 14094 15628 18792 23442 28188 31256 35163 37584 46884 56376 62512 70326 93768 105489 112752 113303 140652 187536 210978 226606 281304 316467 339909 421956 453212 562608 632934 679818 843912 906424 949401 1019727 1265868 1359636 1687824 1812848 1898802 2039454 2531736 2719272 3059181 3797604 4078908 5063472 5438544 6118362 7595208 8157816 9177543 12236724 15190416 16315632 18355086 24473448 27532629 36710172 48946896 55065258 73420344 110130516 146840688 220261032 440522064