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2029008 = 243411031
BaseRepresentation
bin111101111010111010000
310211002021110
413233113100
51004412013
6111253320
723150322
oct7572720
93732243
102029008
111166473
1281a240
135606c7
143ab612
152a12c3
hex1ef5d0

2029008 has 40 divisors (see below), whose sum is σ = 5374656. Its totient is φ = 659200.

The previous prime is 2029007. The next prime is 2029019. The reversal of 2029008 is 8009202.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029003) 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, 1453 + ... + 2483.

22029008 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 2029008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687328).

2029008 is an abundant number, since it is smaller than the sum of its proper divisors (3345648).

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

2029008 is a wasteful number, since it uses less digits than its factorization.

2029008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2029008 is about 1424.4325185842. The cubic root of 2029008 is about 126.5983133827.

The spelling of 2029008 in words is "two million, twenty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1031 1968 2062 3093 4124 6186 8248 12372 16496 24744 42271 49488 84542 126813 169084 253626 338168 507252 676336 1014504 2029008