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4247780625 = 3254112792
BaseRepresentation
bin1111110100101111…
…1111110100010001
3101222000221121120100
43331023333310101
532144412440000
61541300403013
7210156353034
oct37513776421
911860847510
104247780625
11188a841500
129a66a6469
13529067b7a
142c421301b
1519cdbba00
hexfd2ffd11

4247780625 has 135 divisors (see below), whose sum is σ = 8535556029. Its totient is φ = 2033460000.

The previous prime is 4247780623. The next prime is 4247780629. The reversal of 4247780625 is 5260877424.

It is a happy number.

The square root of 4247780625 is 65175.

It is a perfect power (a square), and thus also a powerful number.

4247780625 is a `hidden beast` number, since 42 + 477 + 80 + 62 + 5 = 666.

4247780625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 333026001 + 3914754624 = 18249^2 + 62568^2 .

It is not a de Polignac number, because 4247780625 - 21 = 4247780623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4247780623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 53769336 + ... + 53769414.

Almost surely, 24247780625 is an apocalyptic number.

4247780625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4247780625 is the 65175-th square number.

4247780625 is the 32588-th centered octagonal number.

It is an amenable number.

4247780625 is an abundant number, since it is smaller than the sum of its proper divisors (4287775404).

4247780625 is an equidigital number, since it uses as much as digits as its factorization.

4247780625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The cubic root of 4247780625 is about 1619.5238941547.

The spelling of 4247780625 in words is "four billion, two hundred forty-seven million, seven hundred eighty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 79 99 121 125 165 225 237 275 363 375 395 495 605 625 711 825 869 1089 1125 1185 1375 1815 1875 1975 2475 2607 3025 3555 4125 4345 5445 5625 5925 6241 6875 7821 9075 9559 9875 12375 13035 15125 17775 18723 20625 21725 27225 28677 29625 31205 39105 45375 47795 49375 56169 61875 65175 68651 75625 86031 88875 93615 108625 136125 143385 148125 156025 195525 205953 226875 238975 280845 325875 343255 430155 444375 468075 543125 617859 680625 716925 755161 780125 977625 1029765 1194875 1404225 1629375 1716275 2150775 2265483 2340375 3089295 3584625 3775805 3900625 4888125 5148825 5974375 6796449 7021125 8581375 10753875 11327415 11701875 15446475 17923125 18879025 25744125 33982245 35105625 42906875 53769375 56637075 77232375 94395125 128720625 169911225 283185375 386161875 471975625 849556125 1415926875 4247780625