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725278740 = 223559211971
BaseRepresentation
bin101011001110101…
…110000000010100
31212112201222101120
4223032232000110
52441132404430
6155545123540
723654524164
oct5316560024
91775658346
10725278740
1134244571a
12182a895b0
13b7350424
146c4785a4
1543a17610
hex2b3ae014

725278740 has 96 divisors (see below), whose sum is σ = 2077125120. Its totient is φ = 189033600.

The previous prime is 725278739. The next prime is 725278747. The reversal of 725278740 is 47872527.

It is a junction number, because it is equal to n+sod(n) for n = 725278692 and 725278701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725278747) 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, 746455 + ... + 747425.

It is an arithmetic number, because the mean of its divisors is an integer number (21636720).

Almost surely, 2725278740 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 725278740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038562560).

725278740 is an abundant number, since it is smaller than the sum of its proper divisors (1351846380).

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

725278740 is a wasteful number, since it uses less digits than its factorization.

725278740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The square root of 725278740 is about 26930.9996101147. Note that the first 3 decimals coincide. The cubic root of 725278740 is about 898.4660041659.

The spelling of 725278740 in words is "seven hundred twenty-five million, two hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 211 236 295 354 422 590 633 708 844 885 971 1055 1180 1266 1770 1942 2110 2532 2913 3165 3540 3884 4220 4855 5826 6330 9710 11652 12449 12660 14565 19420 24898 29130 37347 49796 57289 58260 62245 74694 114578 124490 149388 171867 186735 204881 229156 248980 286445 343734 373470 409762 572890 614643 687468 746940 819524 859335 1024405 1145780 1229286 1718670 2048810 2458572 3073215 3437340 4097620 6146430 12087979 12292860 24175958 36263937 48351916 60439895 72527874 120879790 145055748 181319685 241759580 362639370 725278740