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6034048 = 27174759
BaseRepresentation
bin10111000001001010000000
3102100120011021
4113001022000
53021042143
6333155224
7102200656
oct27011200
912316137
106034048
113451519
12202bb14
131333657
14b30dd6
157e2ced
hex5c1280

6034048 has 64 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 2732032.

The previous prime is 6034037. The next prime is 6034081. The reversal of 6034048 is 8404306.

6034048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 102243 + ... + 102301.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 26034048 is an apocalyptic number.

6034048 is a gapful number since it is divisible by the number (68) 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 6034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

6034048 is an abundant number, since it is smaller than the sum of its proper divisors (7185152).

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

6034048 is a wasteful number, since it uses less digits than its factorization.

6034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 6034048 is about 2456.4299297965. The cubic root of 6034048 is about 182.0551296179.

The spelling of 6034048 in words is "six million, thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 47 59 64 68 94 118 128 136 188 236 272 376 472 544 752 799 944 1003 1088 1504 1598 1888 2006 2176 2773 3008 3196 3776 4012 5546 6016 6392 7552 8024 11092 12784 16048 22184 25568 32096 44368 47141 51136 64192 88736 94282 102272 128384 177472 188564 354944 377128 754256 1508512 3017024 6034048