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8325072 = 243372753
BaseRepresentation
bin11111110000011111010000
3120122221212000
4133300133100
54112400242
6454234000
7130522230
oct37603720
916587760
108325072
114776828
122955900
1319563a2
141169cc0
15ae6a4c
hex7f07d0

8325072 has 80 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 2377728.

The previous prime is 8325071. The next prime is 8325073. The reversal of 8325072 is 2705238.

It is an interprime number because it is at equal distance from previous prime (8325071) and next prime (8325073).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8325071) by changing a digit.

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, 1648 + ... + 4400.

It is an arithmetic number, because the mean of its divisors is an integer number (341496).

Almost surely, 28325072 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 8325072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

8325072 is an abundant number, since it is smaller than the sum of its proper divisors (18994608).

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

8325072 is a wasteful number, since it uses less digits than its factorization.

8325072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 8325072 is about 2885.3200862296. The cubic root of 8325072 is about 202.6730482370.

The spelling of 8325072 in words is "eight million, three hundred twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2753 3024 5506 8259 11012 16518 19271 22024 24777 33036 38542 44048 49554 57813 66072 74331 77084 99108 115626 132144 148662 154168 173439 198216 231252 297324 308336 346878 396432 462504 520317 594648 693756 925008 1040634 1189296 1387512 2081268 2775024 4162536 8325072