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8254240 = 255232243
BaseRepresentation
bin11111011111001100100000
3120112100200121
4133133030200
54103113430
6452530024
7130105561
oct37371440
916470617
108254240
114728595
122920914
131930087
14114c168
15ad0a7a
hex7df320

8254240 has 48 divisors (see below), whose sum is σ = 20357568. Its totient is φ = 3156736.

The previous prime is 8254229. The next prime is 8254249. The reversal of 8254240 is 424528.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8254249) 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 7 ways as a sum of consecutive naturals, for example, 2559 + ... + 4801.

It is an arithmetic number, because the mean of its divisors is an integer number (424116).

Almost surely, 28254240 is an apocalyptic number.

8254240 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 8254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178784).

8254240 is an abundant number, since it is smaller than the sum of its proper divisors (12103328).

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

8254240 is a wasteful number, since it uses less digits than its factorization.

8254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 8254240 is about 2873.0193177213. The cubic root of 8254240 is about 202.0966109768.

Adding to 8254240 its reverse (424528), we get a palindrome (8678768).

The spelling of 8254240 in words is "eight million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 2243 3680 4486 8972 11215 17944 22430 35888 44860 51589 71776 89720 103178 179440 206356 257945 358880 412712 515890 825424 1031780 1650848 2063560 4127120 8254240