Search a number
-
+
755352 = 233313269
BaseRepresentation
bin10111000011010011000
31102101011000
42320122120
5143132402
624105000
76264123
oct2703230
91371130
10755352
11476564
12305160
13205a70
141593ba
15edc1c
hexb8698

755352 has 64 divisors (see below), whose sum is σ = 2268000. Its totient is φ = 231552.

The previous prime is 755351. The next prime is 755357. The reversal of 755352 is 253557.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755351) 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, 2674 + ... + 2942.

2755352 is an apocalyptic number.

755352 is a gapful number since it is divisible by the number (72) 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 755352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134000).

755352 is an abundant number, since it is smaller than the sum of its proper divisors (1512648).

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

755352 is a wasteful number, since it uses less digits than its factorization.

755352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its digits is 5250, while the sum is 27.

The square root of 755352 is about 869.1098894846. The cubic root of 755352 is about 91.0716338107.

The spelling of 755352 in words is "seven hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 269 312 351 468 538 702 807 936 1076 1404 1614 2152 2421 2808 3228 3497 4842 6456 6994 7263 9684 10491 13988 14526 19368 20982 27976 29052 31473 41964 58104 62946 83928 94419 125892 188838 251784 377676 755352