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8252240 = 245293557
BaseRepresentation
bin11111011110101101010000
3120112020221112
4133132231100
54103032430
6452512452
7130100003
oct37365520
916466845
108252240
114727037
12291b728
13192c1a9
14114b53a
15ad0195
hex7deb50

8252240 has 40 divisors (see below), whose sum is σ = 19853640. Its totient is φ = 3186176.

The previous prime is 8252227. The next prime is 8252249. The reversal of 8252240 is 422528.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 8133904 = 344^2 + 2852^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8252249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542 + ... + 4098.

It is an arithmetic number, because the mean of its divisors is an integer number (496341).

Almost surely, 28252240 is an apocalyptic number.

8252240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9926820).

8252240 is an abundant number, since it is smaller than the sum of its proper divisors (11601400).

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

8252240 is a wasteful number, since it uses less digits than its factorization.

8252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 8252240 is about 2872.6712307537. The cubic root of 8252240 is about 202.0802870078.

Adding to 8252240 its reverse (422528), we get a palindrome (8674768).

The spelling of 8252240 in words is "eight million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 3557 7114 14228 17785 28456 35570 56912 71140 103153 142280 206306 284560 412612 515765 825224 1031530 1650448 2063060 4126120 8252240