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54446106 = 231113233189
BaseRepresentation
bin1100111110110…
…0100000011010
310210110011000110
43033230200122
5102414233411
65222545150
71230533001
oct317544032
9123404013
1054446106
1128808190
12162981b6
13b384040
147333c38
154ba72a6
hex33ec81a

54446106 has 128 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 13939200.

The previous prime is 54446059. The next prime is 54446107. The reversal of 54446106 is 60164445.

54446106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54446107) 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 63 ways as a sum of consecutive naturals, for example, 611710 + ... + 611798.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 254446106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54446106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

54446106 is an abundant number, since it is smaller than the sum of its proper divisors (84899814).

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

54446106 is a wasteful number, since it uses less digits than its factorization.

54446106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 54446106 is about 7378.7604650104. The cubic root of 54446106 is about 379.0143106011.

The spelling of 54446106 in words is "fifty-four million, four hundred forty-six thousand, one hundred six".

Divisors: 1 2 3 6 11 13 22 23 26 31 33 39 46 62 66 69 78 89 93 138 143 178 186 253 267 286 299 341 403 429 506 534 598 682 713 759 806 858 897 979 1023 1157 1209 1426 1518 1794 1958 2046 2047 2139 2314 2418 2759 2937 3289 3471 4094 4278 4433 5518 5874 6141 6578 6942 7843 8277 8866 9269 9867 12282 12727 13299 15686 16554 18538 19734 22517 23529 25454 26598 26611 27807 30349 35867 38181 45034 47058 53222 55614 60698 63457 67551 71734 76362 79833 91047 101959 107601 126914 135102 159666 182094 190371 203918 215202 292721 305877 380742 394537 585442 611754 698027 789074 824941 878163 1183611 1396054 1649882 1756326 2094081 2367222 2474823 4188162 4949646 9074351 18148702 27223053 54446106