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2048004 = 22357243
BaseRepresentation
bin111110100000000000100
310212001100000
413310000010
51011014004
6111521300
723256600
oct7640004
93761300
102048004
111179772
12829230
1356924a
143b4500
152a6c39
hex1f4004

2048004 has 108 divisors (see below), whose sum is σ = 6390384. Its totient is φ = 571536.

The previous prime is 2048003. The next prime is 2048017. The reversal of 2048004 is 4008402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2048003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47607 + ... + 47649.

22048004 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 2048004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195192).

2048004 is an abundant number, since it is smaller than the sum of its proper divisors (4342380).

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

2048004 is a wasteful number, since it uses less digits than its factorization.

2048004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2048004 is about 1431.0849031417. The cubic root of 2048004 is about 126.9921668345.

The spelling of 2048004 in words is "two million, forty-eight thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 49 54 63 81 84 86 98 108 126 129 147 162 172 189 196 243 252 258 294 301 324 378 387 441 486 516 567 588 602 756 774 882 903 972 1134 1161 1204 1323 1548 1701 1764 1806 2107 2268 2322 2646 2709 3402 3483 3612 3969 4214 4644 5292 5418 6321 6804 6966 7938 8127 8428 10449 10836 11907 12642 13932 15876 16254 18963 20898 23814 24381 25284 32508 37926 41796 47628 48762 56889 73143 75852 97524 113778 146286 170667 227556 292572 341334 512001 682668 1024002 2048004