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5398008 = 23371123127
BaseRepresentation
bin10100100101110111111000
3101011020200020
4110211313320
52340214013
6311410440
763611430
oct24456770
911136606
105398008
113057670
121983a20
13116ccb5
14a072c0
15719623
hex525df8

5398008 has 128 divisors (see below), whose sum is σ = 17694720. Its totient is φ = 1330560.

The previous prime is 5397979. The next prime is 5398037. The reversal of 5398008 is 8008935.

5398008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5397979) and next prime (5398037).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 5398008.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42441 + ... + 42567.

It is an arithmetic number, because the mean of its divisors is an integer number (138240).

Almost surely, 25398008 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 5398008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847360).

5398008 is an abundant number, since it is smaller than the sum of its proper divisors (12296712).

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

5398008 is a wasteful number, since it uses less digits than its factorization.

5398008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5398008 is about 2323.3613580328. The cubic root of 5398008 is about 175.4194888865.

The spelling of 5398008 in words is "five million, three hundred ninety-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 127 132 138 154 161 168 184 231 253 254 264 276 308 322 381 462 483 506 508 552 616 644 759 762 889 924 966 1012 1016 1288 1397 1518 1524 1771 1778 1848 1932 2024 2667 2794 2921 3036 3048 3542 3556 3864 4191 5313 5334 5588 5842 6072 7084 7112 8382 8763 9779 10626 10668 11176 11684 14168 16764 17526 19558 20447 21252 21336 23368 29337 32131 33528 35052 39116 40894 42504 58674 61341 64262 70104 78232 81788 96393 117348 122682 128524 163576 192786 224917 234696 245364 257048 385572 449834 490728 674751 771144 899668 1349502 1799336 2699004 5398008