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8402048 = 27411601
BaseRepresentation
bin100000000011…
…010010000000
3120210212102222
4200003102000
54122331143
6500030212
7131262524
oct40032200
916725388
108402048
114819646
122992368
131982435
141189d84
15b0e768
hex803480

8402048 has 32 divisors (see below), whose sum is σ = 17157420. Its totient is φ = 4096000.

The previous prime is 8402041. The next prime is 8402057.

8402048 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 8340544 + 61504 = 2888^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (8402041) 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 3 ways as a sum of consecutive naturals, for example, 4448 + ... + 6048.

Almost surely, 28402048 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 8402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578710).

8402048 is an abundant number, since it is smaller than the sum of its proper divisors (8755372).

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

8402048 is a wasteful number, since it uses less digits than its factorization.

8402048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 8402048 is about 2898.6286412716. The cubic root of 8402048 is about 203.2957904947.

The spelling of 8402048 in words is "eight million, four hundred two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 1601 2624 3202 5248 6404 12808 25616 51232 65641 102464 131282 204928 262564 525128 1050256 2100512 4201024 8402048