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6748728 = 2337172139
BaseRepresentation
bin11001101111101000111000
3110200212111220
4121233220320
53211424403
6400352040
7111235410
oct31575070
913625456
106748728
11389a468
122315620
131523a3c
14c79640
158d4953
hex66fa38

6748728 has 96 divisors (see below), whose sum is σ = 20630400. Its totient is φ = 1801728.

The previous prime is 6748691. The next prime is 6748771. The reversal of 6748728 is 8278476.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (150528) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 6748728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48483 + ... + 48621.

It is an arithmetic number, because the mean of its divisors is an integer number (214900).

Almost surely, 26748728 is an apocalyptic number.

6748728 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 6748728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315200).

6748728 is an abundant number, since it is smaller than the sum of its proper divisors (13881672).

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

6748728 is a wasteful number, since it uses less digits than its factorization.

6748728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 6748728 is about 2597.8314033055. The cubic root of 6748728 is about 188.9762854823.

The spelling of 6748728 in words is "six million, seven hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 139 168 204 238 278 289 357 408 417 476 556 578 714 834 867 952 973 1112 1156 1428 1668 1734 1946 2023 2312 2363 2856 2919 3336 3468 3892 4046 4726 5838 6069 6936 7089 7784 8092 9452 11676 12138 14178 16184 16541 18904 23352 24276 28356 33082 40171 48552 49623 56712 66164 80342 99246 120513 132328 160684 198492 241026 281197 321368 396984 482052 562394 843591 964104 1124788 1687182 2249576 3374364 6748728