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8525840 = 245176269
BaseRepresentation
bin100000100001…
…100000010000
3121001011020212
4200201200100
54140311330
6502423252
7132316451
oct40414020
917034225
108525840
1148a3654
122a31b28
1319c689b
1411bd128
15b36295
hex821810

8525840 has 40 divisors (see below), whose sum is σ = 20991960. Its totient is φ = 3209216.

The previous prime is 8525833. The next prime is 8525849. The reversal of 8525840 is 485258.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 7376656 = 1072^2 + 2716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 8525797 and 8525806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8525849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1775 + ... + 4494.

It is an arithmetic number, because the mean of its divisors is an integer number (524799).

Almost surely, 28525840 is an apocalyptic number.

8525840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8525840 is an abundant number, since it is smaller than the sum of its proper divisors (12466120).

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

8525840 is a wasteful number, since it uses less digits than its factorization.

8525840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 8525840 is about 2919.9041080145. The cubic root of 8525840 is about 204.2893497463.

The spelling of 8525840 in words is "eight million, five hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 6269 12538 25076 31345 50152 62690 100304 106573 125380 213146 250760 426292 501520 532865 852584 1065730 1705168 2131460 4262920 8525840