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2029808 = 241119607
BaseRepresentation
bin111101111100011110000
310211010101002
413233203300
51004423213
6111301132
723152544
oct7574360
93733332
102029808
111167030
1281a7a8
13560b91
143aba24
152a1658
hex1ef8f0

2029808 has 40 divisors (see below), whose sum is σ = 4523520. Its totient is φ = 872640.

The previous prime is 2029801. The next prime is 2029813. The reversal of 2029808 is 8089202.

2029808 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029801) 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, 3041 + ... + 3647.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

22029808 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 2029808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261760).

2029808 is an abundant number, since it is smaller than the sum of its proper divisors (2493712).

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

2029808 is a wasteful number, since it uses less digits than its factorization.

2029808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2029808 is about 1424.7133044932. The cubic root of 2029808 is about 126.6149496474.

The spelling of 2029808 in words is "two million, twenty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 607 836 1214 1672 2428 3344 4856 6677 9712 11533 13354 23066 26708 46132 53416 92264 106832 126863 184528 253726 507452 1014904 2029808