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8245368 = 233359647
BaseRepresentation
bin11111011101000001111000
3120111220112000
4133131001320
54102322433
6452421000
7130040655
oct37350170
916456460
108245368
11472195a
122917760
131929021
141148c2c
15acd113
hex7dd078

8245368 has 64 divisors (see below), whose sum is σ = 23328000. Its totient is φ = 2697696.

The previous prime is 8245343. The next prime is 8245409. The reversal of 8245368 is 8635428.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 83 + 25 + 411 + 59 + 33 + 63 + 87 .

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 15 ways as a sum of consecutive naturals, for example, 12421 + ... + 13067.

It is an arithmetic number, because the mean of its divisors is an integer number (364500).

Almost surely, 28245368 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 8245368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664000).

8245368 is an abundant number, since it is smaller than the sum of its proper divisors (15082632).

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

8245368 is a wasteful number, since it uses less digits than its factorization.

8245368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 8245368 is about 2871.4748823558. The cubic root of 8245368 is about 202.0241777419.

The spelling of 8245368 in words is "eight million, two hundred forty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 647 708 1062 1294 1416 1593 1941 2124 2588 3186 3882 4248 5176 5823 6372 7764 11646 12744 15528 17469 23292 34938 38173 46584 69876 76346 114519 139752 152692 229038 305384 343557 458076 687114 916152 1030671 1374228 2061342 2748456 4122684 8245368