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8114448 = 243712381
BaseRepresentation
bin11110111101000100010000
3120021020221010
4132331010100
54034130243
6445530520
7125654166
oct36750420
916236833
108114448
114642561
122873a40
1318b1564
141113236
15aa4433
hex7bd110

8114448 has 40 divisors (see below), whose sum is σ = 21266496. Its totient is φ = 2665600.

The previous prime is 8114429. The next prime is 8114453. The reversal of 8114448 is 8444118.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2218 + ... + 4598.

Almost surely, 28114448 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 8114448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10633248).

8114448 is an abundant number, since it is smaller than the sum of its proper divisors (13152048).

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

8114448 is a wasteful number, since it uses less digits than its factorization.

8114448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2457 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 8114448 is about 2848.5870181548. The cubic root of 8114448 is about 200.9492211026.

The spelling of 8114448 in words is "eight million, one hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 2381 3408 4762 7143 9524 14286 19048 28572 38096 57144 114288 169051 338102 507153 676204 1014306 1352408 2028612 2704816 4057224 8114448