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4029888 = 263139151
BaseRepresentation
bin1111010111110111000000
321120201222010
433113313000
52012424023
6222212520
746152642
oct17276700
97521863
104029888
112302795
121424140
13ab1365
1476c892
15549093
hex3d7dc0

4029888 has 56 divisors (see below), whose sum is σ = 10810240. Its totient is φ = 1324800.

The previous prime is 4029871. The next prime is 4029911. The reversal of 4029888 is 8889204.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 26613 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (193040).

Almost surely, 24029888 is an apocalyptic number.

4029888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405120).

4029888 is an abundant number, since it is smaller than the sum of its proper divisors (6780352).

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

4029888 is a wasteful number, since it uses less digits than its factorization.

4029888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 4029888 is about 2007.4580942077. The cubic root of 4029888 is about 159.1344932214.

The spelling of 4029888 in words is "four million, twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 151 192 278 302 417 453 556 604 834 906 1112 1208 1668 1812 2224 2416 3336 3624 4448 4832 6672 7248 8896 9664 13344 14496 20989 26688 28992 41978 62967 83956 125934 167912 251868 335824 503736 671648 1007472 1343296 2014944 4029888