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8009148 = 2237253257
BaseRepresentation
bin11110100011010110111100
3120001220111010
4132203112330
54022243043
6443355220
7125035200
oct36432674
916056433
108009148
114580434
122822b10
131875654
1410c6b00
15a83133
hex7a35bc

8009148 has 72 divisors (see below), whose sum is σ = 22235472. Its totient is φ = 2236416.

The previous prime is 8009147. The next prime is 8009149. The reversal of 8009148 is 8419008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8009147) and next prime (8009149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31036 + ... + 31292.

It is an arithmetic number, because the mean of its divisors is an integer number (308826).

Almost surely, 28009148 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 8009148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117736).

8009148 is an abundant number, since it is smaller than the sum of its proper divisors (14226324).

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

8009148 is a wasteful number, since it uses less digits than its factorization.

8009148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8009148 is about 2830.0438159152. The cubic root of 8009148 is about 200.0762042942.

The spelling of 8009148 in words is "eight million, nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 257 294 318 371 514 588 636 742 771 1028 1113 1484 1542 1799 2226 2597 3084 3598 4452 5194 5397 7196 7791 10388 10794 12593 13621 15582 21588 25186 27242 31164 37779 40863 50372 54484 75558 81726 95347 151116 163452 190694 286041 381388 572082 667429 1144164 1334858 2002287 2669716 4004574 8009148