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4434912 = 25342959
BaseRepresentation
bin10000111010101111100000
322100022120000
4100322233200
52113404122
6235020000
752460526
oct20725740
98308500
104434912
11255a019
12159a600
13bc3811
14836316
155c90ac
hex43abe0

4434912 has 120 divisors (see below), whose sum is σ = 13721400. Its totient is φ = 1403136.

The previous prime is 4434907. The next prime is 4434949. The reversal of 4434912 is 2194344.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75139 + ... + 75197.

It is an arithmetic number, because the mean of its divisors is an integer number (114345).

Almost surely, 24434912 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 4434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860700).

4434912 is an abundant number, since it is smaller than the sum of its proper divisors (9286488).

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

4434912 is a wasteful number, since it uses less digits than its factorization.

4434912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4434912 is about 2105.9230755182. The cubic root of 4434912 is about 164.2965090035.

The spelling of 4434912 in words is "four million, four hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 59 72 81 87 96 108 116 118 144 162 174 177 216 232 236 261 288 324 348 354 432 464 472 522 531 648 696 708 783 864 928 944 1044 1062 1296 1392 1416 1566 1593 1711 1888 2088 2124 2349 2592 2784 2832 3132 3186 3422 4176 4248 4698 4779 5133 5664 6264 6372 6844 8352 8496 9396 9558 10266 12528 12744 13688 15399 16992 18792 19116 20532 25056 25488 27376 30798 37584 38232 41064 46197 50976 54752 61596 75168 76464 82128 92394 123192 138591 152928 164256 184788 246384 277182 369576 492768 554364 739152 1108728 1478304 2217456 4434912