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8339968 = 29713179
BaseRepresentation
bin11111110100001000000000
3120200201021201
4133310020000
54113334333
6454430544
7130613530
oct37641000
916621251
108339968
114786a3a
122962454
1319600c0
1411714c0
15aeb17d
hex7f4200

8339968 has 80 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 3280896.

The previous prime is 8339957. The next prime is 8339971. The reversal of 8339968 is 8699338.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46503 + ... + 46681.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 28339968 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 8339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

8339968 is an abundant number, since it is smaller than the sum of its proper divisors (12283712).

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

8339968 is a wasteful number, since it uses less digits than its factorization.

8339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The square root of 8339968 is about 2887.9002752865. The cubic root of 8339968 is about 202.7938567569.

It can be divided in two parts, 833 and 9968, that added together give a palindrome (10801).

The spelling of 8339968 in words is "eight million, three hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 179 182 208 224 256 358 364 416 448 512 716 728 832 896 1253 1432 1456 1664 1792 2327 2506 2864 2912 3328 3584 4654 5012 5728 5824 6656 9308 10024 11456 11648 16289 18616 20048 22912 23296 32578 37232 40096 45824 46592 65156 74464 80192 91648 130312 148928 160384 260624 297856 320768 521248 595712 641536 1042496 1191424 2084992 4169984 8339968