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8399328 = 253729431
BaseRepresentation
bin100000000010…
…100111100000
3120210201201020
4200002213200
54122234303
6500005440
7131251560
oct40024740
916721636
108399328
1148175a3
122990880
131981122
141188da0
15b0da53
hex8029e0

8399328 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 2311680.

The previous prime is 8399317. The next prime is 8399381. The reversal of 8399328 is 8239938.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8399328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19273 + ... + 19703.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 28399328 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 8399328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

8399328 is an abundant number, since it is smaller than the sum of its proper divisors (17728032).

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

8399328 is a wasteful number, since it uses less digits than its factorization.

8399328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 8399328 is about 2898.1594159052. The cubic root of 8399328 is about 203.2738504378.

The spelling of 8399328 in words is "eight million, three hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 431 464 609 672 696 812 862 928 1218 1293 1392 1624 1724 2436 2586 2784 3017 3248 3448 4872 5172 6034 6496 6896 9051 9744 10344 12068 12499 13792 18102 19488 20688 24136 24998 36204 37497 41376 48272 49996 72408 74994 87493 96544 99992 144816 149988 174986 199984 262479 289632 299976 349972 399968 524958 599952 699944 1049916 1199904 1399888 2099832 2799776 4199664 8399328