Search a number
-
+
3505728 = 26319312
BaseRepresentation
bin1101010111111001000000
320121002221210
431113321000
51344140403
6203050120
741540532
oct15277100
96532853
103505728
111a849a6
121210940
139598c5
14673852
15493b03
hex357e40

3505728 has 84 divisors (see below), whose sum is σ = 10088880. Its totient is φ = 1071360.

The previous prime is 3505727. The next prime is 3505751. The reversal of 3505728 is 8275053.

It is a happy number.

3505728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3505695 and 3505704.

It is not an unprimeable number, because it can be changed into a prime (3505727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 113073 + ... + 113103.

Almost surely, 23505728 is an apocalyptic number.

3505728 is a gapful number since it is divisible by the number (38) 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 3505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044440).

3505728 is an abundant number, since it is smaller than the sum of its proper divisors (6583152).

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

3505728 is a wasteful number, since it uses less digits than its factorization.

3505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 3505728 is about 1872.3589399471. The cubic root of 3505728 is about 151.9122300301.

The spelling of 3505728 in words is "three million, five hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 304 372 456 496 589 608 744 912 961 992 1178 1216 1488 1767 1824 1922 1984 2356 2883 2976 3534 3648 3844 4712 5766 5952 7068 7688 9424 11532 14136 15376 18259 18848 23064 28272 30752 36518 37696 46128 54777 56544 61504 73036 92256 109554 113088 146072 184512 219108 292144 438216 584288 876432 1168576 1752864 3505728