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8029944 = 23321323373
BaseRepresentation
bin11110101000011011111000
3120002222000100
4132220123320
54023424234
6444035400
7125152626
oct36503370
916088010
108029944
11459501a
122832b60
131881c60
1410d0516
15a89399
hex7a86f8

8029944 has 96 divisors (see below), whose sum is σ = 24504480. Its totient is φ = 2356992.

The previous prime is 8029943. The next prime is 8029969. The reversal of 8029944 is 4499208.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8029899 and 8029908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8029943) 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 23 ways as a sum of consecutive naturals, for example, 21342 + ... + 21714.

It is an arithmetic number, because the mean of its divisors is an integer number (255255).

Almost surely, 28029944 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 8029944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252240).

8029944 is an abundant number, since it is smaller than the sum of its proper divisors (16474536).

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

8029944 is a wasteful number, since it uses less digits than its factorization.

8029944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8029944 is about 2833.7155820583. The cubic root of 8029944 is about 200.2492226447.

The spelling of 8029944 in words is "eight million, twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 373 414 468 552 598 746 828 897 936 1119 1196 1492 1656 1794 2238 2392 2691 2984 3357 3588 4476 4849 5382 6714 7176 8579 8952 9698 10764 13428 14547 17158 19396 21528 25737 26856 29094 34316 38792 43641 51474 58188 68632 77211 87282 102948 111527 116376 154422 174564 205896 223054 308844 334581 349128 446108 617688 669162 892216 1003743 1338324 2007486 2676648 4014972 8029944