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104505444 = 22332961547
BaseRepresentation
bin1100011101010…
…10000001100100
321021122102112000
412032222001210
5203223133234
614211525300
72406165411
oct616520144
9237572460
10104505444
1153a9953a
122abb9830
1318860454
14dc45108
159294899
hex63aa064

104505444 has 96 divisors (see below), whose sum is σ = 285398400. Its totient is φ = 33022080.

The previous prime is 104505431. The next prime is 104505449. The reversal of 104505444 is 444505401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104505449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 190779 + ... + 191325.

It is an arithmetic number, because the mean of its divisors is an integer number (2972900).

Almost surely, 2104505444 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 104505444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142699200).

104505444 is an abundant number, since it is smaller than the sum of its proper divisors (180892956).

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

104505444 is a wasteful number, since it uses less digits than its factorization.

104505444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 104505444 is about 10222.7904214065. The cubic root of 104505444 is about 471.0275451455.

The spelling of 104505444 in words is "one hundred four million, five hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 61 87 108 116 122 174 183 244 261 348 366 522 547 549 732 783 1044 1094 1098 1566 1641 1647 1769 2188 2196 3132 3282 3294 3538 4923 5307 6564 6588 7076 9846 10614 14769 15863 15921 19692 21228 29538 31726 31842 33367 47589 47763 59076 63452 63684 66734 95178 95526 100101 133468 142767 190356 191052 200202 285534 300303 400404 428301 571068 600606 856602 900909 967643 1201212 1713204 1801818 1935286 2902929 3603636 3870572 5805858 8708787 11611716 17417574 26126361 34835148 52252722 104505444