Search a number
-
+
748032852 = 223731833461
BaseRepresentation
bin101100100101100…
…001001101010100
31221010120000011110
4230211201031110
53012444022402
6202120535020
724352113540
oct5445411524
91833500143
10748032852
11354277176
1218a621470
13bbc892b8
14714bca20
1545a0e56c
hex2c961354

748032852 has 96 divisors (see below), whose sum is σ = 2084511744. Its totient is φ = 204278400.

The previous prime is 748032833. The next prime is 748032853. The reversal of 748032852 is 258230847.

It is a self number, because there is not a number n which added to its sum of digits gives 748032852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748032853) 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 31 ways as a sum of consecutive naturals, for example, 214402 + ... + 217862.

It is an arithmetic number, because the mean of its divisors is an integer number (21713664).

Almost surely, 2748032852 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 748032852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042255872).

748032852 is an abundant number, since it is smaller than the sum of its proper divisors (1336478892).

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

748032852 is a wasteful number, since it uses less digits than its factorization.

748032852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 748032852 is about 27350.1892498023. The cubic root of 748032852 is about 907.7652575530.

The spelling of 748032852 in words is "seven hundred forty-eight million, thirty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 83 84 93 124 166 186 217 249 332 372 434 498 581 651 868 996 1162 1302 1743 2324 2573 2604 3461 3486 5146 6922 6972 7719 10292 10383 13844 15438 18011 20766 24227 30876 36022 41532 48454 54033 72044 72681 96908 107291 108066 145362 214582 216132 287263 290724 321873 429164 574526 643746 751037 861789 1149052 1287492 1502074 1723578 2010841 2253111 3004148 3447156 4021682 4506222 6032523 8043364 8905153 9012444 12065046 17810306 24130092 26715459 35620612 53430918 62336071 106861836 124672142 187008213 249344284 374016426 748032852