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4914048 = 27367191
BaseRepresentation
bin10010101111101110000000
3100020122210210
4102233232000
52224222143
6253154120
756524446
oct22575600
910218723
104914048
112856aa7
12178b940
131030929
1491cb96
15671033
hex4afb80

4914048 has 64 divisors (see below), whose sum is σ = 13317120. Its totient is φ = 1605120.

The previous prime is 4914029. The next prime is 4914059. The reversal of 4914048 is 8404194.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25633 + ... + 25823.

It is an arithmetic number, because the mean of its divisors is an integer number (208080).

Almost surely, 24914048 is an apocalyptic number.

4914048 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 4914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658560).

4914048 is an abundant number, since it is smaller than the sum of its proper divisors (8403072).

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

4914048 is a wasteful number, since it uses less digits than its factorization.

4914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4914048 is about 2216.7652108421. The cubic root of 4914048 is about 170.0120867992.

The spelling of 4914048 in words is "four million, nine hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 191 192 201 268 382 384 402 536 573 764 804 1072 1146 1528 1608 2144 2292 3056 3216 4288 4584 6112 6432 8576 9168 12224 12797 12864 18336 24448 25594 25728 36672 38391 51188 73344 76782 102376 153564 204752 307128 409504 614256 819008 1228512 1638016 2457024 4914048