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9944046 = 23573779
BaseRepresentation
bin100101111011…
…101111101110
3200201012200000
4211323233232
510021202141
6553045130
7150344250
oct45735756
920635600
109944046
115682122
1233b67a6
1320a2268
14146bcd0
15d165b6
hex97bbee

9944046 has 96 divisors (see below), whose sum is σ = 26557440. Its totient is φ = 2729376.

The previous prime is 9944041. The next prime is 9944063. The reversal of 9944046 is 6404499.

It is a self number, because there is not a number n which added to its sum of digits gives 9944046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9944041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125835 + ... + 125913.

It is an arithmetic number, because the mean of its divisors is an integer number (276640).

Almost surely, 29944046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9944046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278720).

9944046 is an abundant number, since it is smaller than the sum of its proper divisors (16613394).

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

9944046 is a wasteful number, since it uses less digits than its factorization.

9944046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9944046 is about 3153.4181454415. The cubic root of 9944046 is about 215.0408864012.

The spelling of 9944046 in words is "nine million, nine hundred forty-four thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 79 81 111 126 158 162 189 222 237 243 259 333 378 474 486 518 553 567 666 711 777 999 1106 1134 1422 1554 1659 1701 1998 2133 2331 2923 2997 3318 3402 4266 4662 4977 5846 5994 6399 6993 8769 8991 9954 12798 13986 14931 17538 17982 19197 20461 20979 26307 29862 38394 40922 41958 44793 52614 61383 62937 78921 89586 122766 125874 134379 157842 184149 236763 268758 368298 473526 552447 710289 1104894 1420578 1657341 3314682 4972023 9944046