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721728450 = 232521818861
BaseRepresentation
bin101011000001001…
…011001111000010
31212022001121022100
4223001023033002
52434230302300
6155341051230
723612406402
oct5301131702
91768047270
10721728450
113404402a3
12181856b16
13b66a9471
146bbd2802
1543565700
hex2b04b3c2

721728450 has 72 divisors (see below), whose sum is σ = 1949976756. Its totient is φ = 191376000.

The previous prime is 721728439. The next prime is 721728457. The reversal of 721728450 is 54827127.

It can be written as a sum of positive squares in 6 ways, for example, as 259435449 + 462293001 = 16107^2 + 21501^2 .

It is not an unprimeable number, because it can be changed into a prime (721728457) 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 35 ways as a sum of consecutive naturals, for example, 77020 + ... + 85880.

Almost surely, 2721728450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 721728450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974988378).

721728450 is an abundant number, since it is smaller than the sum of its proper divisors (1228248306).

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

721728450 is a wasteful number, since it uses less digits than its factorization.

721728450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060 (or 9052 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 721728450 is about 26865.0041876044. The cubic root of 721728450 is about 896.9975876417.

The spelling of 721728450 in words is "seven hundred twenty-one million, seven hundred twenty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 181 225 362 450 543 905 1086 1629 1810 2715 3258 4525 5430 8145 8861 9050 13575 16290 17722 26583 27150 40725 44305 53166 79749 81450 88610 132915 159498 221525 265830 398745 443050 664575 797490 1329150 1603841 1993725 3207682 3987450 4811523 8019205 9623046 14434569 16038410 24057615 28869138 40096025 48115230 72172845 80192050 120288075 144345690 240576150 360864225 721728450