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5448768 = 263133759
BaseRepresentation
bin10100110010010001000000
3101020211022020
4110302101000
52343330033
6312441440
764212423
oct24622100
911224266
105448768
113091816
1219a9280
13118a130
14a1b9ba
157296b3
hex532440

5448768 has 112 divisors (see below), whose sum is σ = 16215360. Its totient is φ = 1603584.

The previous prime is 5448767. The next prime is 5448787. The reversal of 5448768 is 8678445.

It is not an unprimeable number, because it can be changed into a prime (5448767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 92323 + ... + 92381.

It is an arithmetic number, because the mean of its divisors is an integer number (144780).

Almost surely, 25448768 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 5448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107680).

5448768 is an abundant number, since it is smaller than the sum of its proper divisors (10766592).

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

5448768 is a wasteful number, since it uses less digits than its factorization.

5448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 5448768 is about 2334.2596256629. The cubic root of 5448768 is about 175.9676248990.

It can be divided in two parts, 5448 and 768, that added together give a triangular number (6216 = T111).

The spelling of 5448768 in words is "five million, four hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 59 64 74 78 96 104 111 118 148 156 177 192 208 222 236 296 312 354 416 444 472 481 592 624 708 767 832 888 944 962 1184 1248 1416 1443 1534 1776 1888 1924 2183 2301 2368 2496 2832 2886 3068 3552 3776 3848 4366 4602 5664 5772 6136 6549 7104 7696 8732 9204 11328 11544 12272 13098 15392 17464 18408 23088 24544 26196 28379 30784 34928 36816 46176 49088 52392 56758 69856 73632 85137 92352 104784 113516 139712 147264 170274 209568 227032 340548 419136 454064 681096 908128 1362192 1816256 2724384 5448768