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8428368 = 2431321039
BaseRepresentation
bin100000001001…
…101101010000
3120212012112210
4200021231100
54124201433
6500352120
7131432334
oct40115520
916765483
108428368
1148373a3
1229a5640
131991400
1411957c4
15b17463
hex809b50

8428368 has 60 divisors (see below), whose sum is σ = 23599680. Its totient is φ = 2590848.

The previous prime is 8428363. The next prime is 8428391. The reversal of 8428368 is 8638248.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8428363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7593 + ... + 8631.

It is an arithmetic number, because the mean of its divisors is an integer number (393328).

Almost surely, 28428368 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 8428368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799840).

8428368 is an abundant number, since it is smaller than the sum of its proper divisors (15171312).

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

8428368 is a wasteful number, since it uses less digits than its factorization.

8428368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1057 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 8428368 is about 2903.1651692592. The cubic root of 8428368 is about 203.5078486228.

The spelling of 8428368 in words is "eight million, four hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1039 1352 2028 2078 2704 3117 4056 4156 6234 8112 8312 12468 13507 16624 24936 27014 40521 49872 54028 81042 108056 162084 175591 216112 324168 351182 526773 648336 702364 1053546 1404728 2107092 2809456 4214184 8428368