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6748896 = 253711283
BaseRepresentation
bin11001101111101011100000
3110200212202010
4121233223200
53211431041
6400352520
7111236040
oct31575340
913625663
106748896
11389a600
122315740
131523b3b
14c79720
158d4a16
hex66fae0

6748896 has 144 divisors (see below), whose sum is σ = 22522752. Its totient is φ = 1731840.

The previous prime is 6748883. The next prime is 6748897. The reversal of 6748896 is 6988476.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6748897) by changing a digit.

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, 81271 + ... + 81353.

It is an arithmetic number, because the mean of its divisors is an integer number (156408).

Almost surely, 26748896 is an apocalyptic number.

6748896 is a gapful number since it is divisible by the number (66) 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 6748896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261376).

6748896 is an abundant number, since it is smaller than the sum of its proper divisors (15773856).

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

6748896 is a wasteful number, since it uses less digits than its factorization.

6748896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 6748896 is about 2597.8637377661. The cubic root of 6748896 is about 188.9778535681.

The spelling of 6748896 in words is "six million, seven hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 83 84 88 96 112 121 132 154 166 168 176 224 231 242 249 264 308 332 336 352 363 462 484 498 528 581 616 664 672 726 847 913 924 968 996 1056 1162 1232 1328 1452 1694 1743 1826 1848 1936 1992 2324 2464 2541 2656 2739 2904 3388 3486 3652 3696 3872 3984 4648 5082 5478 5808 6391 6776 6972 7304 7392 7968 9296 10043 10164 10956 11616 12782 13552 13944 14608 18592 19173 20086 20328 21912 25564 27104 27888 29216 30129 38346 40172 40656 43824 51128 55776 60258 70301 76692 80344 81312 87648 102256 120516 140602 153384 160688 204512 210903 241032 281204 306768 321376 421806 482064 562408 613536 843612 964128 1124816 1687224 2249632 3374448 6748896