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5838048 = 253329233
BaseRepresentation
bin10110010001010011100000
3101222121022000
4112101103200
52443304143
6325044000
7100423356
oct26212340
911877260
105838048
113328237
121b56600
131295388
14abd7d6
157a4bd3
hex5914e0

5838048 has 96 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1870848.

The previous prime is 5838047. The next prime is 5838071. The reversal of 5838048 is 8408385.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5838043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24940 + ... + 25172.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 25838048 is an apocalyptic number.

5838048 is a gapful number since it is divisible by the number (58) 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 5838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

5838048 is an abundant number, since it is smaller than the sum of its proper divisors (11852352).

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

5838048 is a wasteful number, since it uses less digits than its factorization.

5838048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5838048 is about 2416.2052892915. The cubic root of 5838048 is about 180.0622007257.

The spelling of 5838048 in words is "five million, eight hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 233 261 288 348 432 464 466 522 696 699 783 864 928 932 1044 1392 1398 1566 1864 2088 2097 2784 2796 3132 3728 4176 4194 5592 6264 6291 6757 7456 8352 8388 11184 12528 12582 13514 16776 20271 22368 25056 25164 27028 33552 40542 50328 54056 60813 67104 81084 100656 108112 121626 162168 182439 201312 216224 243252 324336 364878 486504 648672 729756 973008 1459512 1946016 2919024 5838048