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4859375625 = 335413171303
BaseRepresentation
bin1001000011010010…
…00011000000001001
3110112122202212012000
410201221003000021
534423000010000
62122105141213
7231264003606
oct44151030011
913478685160
104859375625
112073a99915
12b3748a809
135c59932c0
143415376ad
151d692a000
hex121a43009

4859375625 has 160 divisors (see below), whose sum is σ = 10265713920. Its totient is φ = 2249856000.

The previous prime is 4859375621. The next prime is 4859375639. The reversal of 4859375625 is 5265739584.

4859375625 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 3 + 7 + 5 + 625 = 666.

It is not a de Polignac number, because 4859375625 - 22 = 4859375621 is a prime.

It is a super-2 number, since 2×48593756252 = 47227062929688281250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4859375621) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3728724 + ... + 3730026.

It is an arithmetic number, because the mean of its divisors is an integer number (64160712).

Almost surely, 24859375625 is an apocalyptic number.

4859375625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4859375625 is an abundant number, since it is smaller than the sum of its proper divisors (5406338295).

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

4859375625 is a wasteful number, since it uses less digits than its factorization.

4859375625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1341 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 4859375625 is about 69709.2219509012. The cubic root of 4859375625 is about 1693.7923106854.

The spelling of 4859375625 in words is "four billion, eight hundred fifty-nine million, three hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 85 117 125 135 153 195 221 225 255 325 351 375 425 459 585 625 663 675 765 975 1105 1125 1275 1303 1625 1755 1875 1989 2125 2295 2925 3315 3375 3825 3909 4875 5525 5625 5967 6375 6515 8125 8775 9945 10625 11475 11727 14625 16575 16875 16939 19125 19545 22151 24375 27625 29835 31875 32575 35181 43875 49725 50817 57375 58635 66453 73125 82875 84695 95625 97725 110755 138125 149175 152451 162875 175905 199359 219375 248625 254085 286875 287963 293175 332265 414375 423475 457353 488625 553775 598077 745875 762255 814375 863889 879525 996795 1243125 1270425 1439815 1465875 1661325 2117375 2286765 2443125 2591667 2768875 2990385 3729375 3811275 4319445 4397625 4983975 6352125 7199075 7329375 7775001 8306625 10586875 11433825 12958335 13844375 14951925 19056375 21597225 21988125 24919875 31760625 35995375 38875005 41533125 57169125 64791675 74759625 95281875 107986125 124599375 179976875 194375025 285845625 323958375 373798125 539930625 971875125 1619791875 4859375625