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16014048 = 2531071559
BaseRepresentation
bin111101000101…
…101011100000
31010010121010220
4331011223200
513044422143
61331123040
7253055121
oct75055340
933117126
1016014048
119048656
125443480
13341908b
1421ac048
151614d83
hexf45ae0

16014048 has 48 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 5284736.

The previous prime is 16014043. The next prime is 16014071. The reversal of 16014048 is 84041061.

16014048 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16014043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9493 + ... + 11051.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 216014048 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 16014048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

16014048 is an abundant number, since it is smaller than the sum of its proper divisors (26442912).

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

16014048 is a wasteful number, since it uses less digits than its factorization.

16014048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 16014048 is about 4001.7556147271. The cubic root of 16014048 is about 252.0579357849.

The spelling of 16014048 in words is "sixteen million, fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1559 1712 2568 3118 3424 4677 5136 6236 9354 10272 12472 18708 24944 37416 49888 74832 149664 166813 333626 500439 667252 1000878 1334504 2001756 2669008 4003512 5338016 8007024 16014048