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716577225 = 352721353283
BaseRepresentation
bin101010101101100…
…001100111001001
31211221100220011020
4222231201213021
52431420432400
6155034423053
723520543300
oct5255414711
91757326136
10716577225
11338542091
1217bb91a89
13b55c48c0
146b251437
1542d992a0
hex2ab619c9

716577225 has 144 divisors (see below), whose sum is σ = 1517527872. Its totient is φ = 295626240.

The previous prime is 716577223. The next prime is 716577233. The reversal of 716577225 is 522775617.

716577225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 716577225 - 21 = 716577223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (716577223) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2531934 + ... + 2532216.

It is an arithmetic number, because the mean of its divisors is an integer number (10538388).

Almost surely, 2716577225 is an apocalyptic number.

716577225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

716577225 is an abundant number, since it is smaller than the sum of its proper divisors (800950647).

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

716577225 is a wasteful number, since it uses less digits than its factorization.

716577225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its digits is 205800, while the sum is 42.

The square root of 716577225 is about 26768.9601030746. The cubic root of 716577225 is about 894.8584297992.

The spelling of 716577225 in words is "seven hundred sixteen million, five hundred seventy-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 53 65 75 91 105 147 159 175 195 245 265 273 283 325 371 455 525 637 689 735 795 849 975 1113 1225 1325 1365 1415 1855 1911 1981 2067 2275 2597 3185 3445 3675 3679 3975 4245 4823 5565 5943 6825 7075 7791 9275 9555 9905 10335 11037 12985 13867 14469 14999 15925 17225 18395 21225 24115 25753 27825 29715 33761 38955 41601 44997 47775 49525 51675 55185 64925 69335 72345 74995 77259 91975 101283 104993 120575 128765 148575 168805 180271 194775 194987 208005 224985 275925 314979 346675 361725 374975 386295 506415 524965 540813 584961 643825 734951 844025 901355 974935 1040025 1124925 1364909 1574895 1931475 2204853 2532075 2624825 2704065 2924805 3674755 4094727 4506775 4874675 6824545 7874475 9554363 11024265 13520325 14624025 18373775 20473635 28663089 34122725 47771815 55121325 102368175 143315445 238859075 716577225