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725265268 = 22741337157
BaseRepresentation
bin101011001110101…
…010101101110100
31212112201021220121
4223032222231310
52441131442033
6155544541324
723654440000
oct5316525564
91775637817
10725265268
11342436592
12182a81844
13b7347260
146c473700
1543a1362d
hex2b3aab74

725265268 has 120 divisors (see below), whose sum is σ = 1648085992. Its totient is φ = 277385472.

The previous prime is 725265241. The next prime is 725265311. The reversal of 725265268 is 862562527.

It can be written as a sum of positive squares in 4 ways, for example, as 71031184 + 654234084 = 8428^2 + 25578^2 .

It is a super-2 number, since 2×7252652682 = 1052019417934223648, which contains 22 as substring.

725265268 is a modest number, since divided by 65268 gives 7252 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4619446 + ... + 4619602.

Almost surely, 2725265268 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 725265268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824042996).

725265268 is an abundant number, since it is smaller than the sum of its proper divisors (922820724).

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

725265268 is a wasteful number, since it uses less digits than its factorization.

725265268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The square root of 725265268 is about 26930.7494882708. The cubic root of 725265268 is about 898.4604411511.

It can be divided in two parts, 7252 and 65268, that multiplied together give a square (473323536 = 217562).

The spelling of 725265268 in words is "seven hundred twenty-five million, two hundred sixty-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 37 49 52 74 91 98 148 157 182 196 259 314 343 364 481 518 628 637 686 962 1036 1099 1274 1372 1813 1924 2041 2198 2401 2548 3367 3626 4082 4396 4459 4802 5809 6734 7252 7693 8164 8918 9604 11618 12691 13468 14287 15386 17836 23236 23569 25382 28574 30772 31213 40663 47138 50764 53851 57148 62426 75517 81326 88837 94276 100009 107702 124852 151034 162652 164983 177674 200018 215404 284641 302068 329966 355348 376957 400036 528619 569282 659932 700063 753914 1057238 1138564 1154881 1400126 1507828 1992487 2114476 2309762 2800252 3700333 3984974 4619524 4900441 7400666 7969948 9800882 13947409 14801332 19601764 25902331 27894818 51804662 55789636 103609324 181316317 362632634 725265268