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4838513625 = 325311390991
BaseRepresentation
bin1001000000110010…
…11101101111011001
3110111012111221220100
410200121131233121
534402124414000
62120042050013
7230621454501
oct44031355731
913435457810
104838513625
11206323a9a0
12b304a9909
135c156a71a
1433c866a01
151d4ba8a00
hex12065dbd9

4838513625 has 48 divisors (see below), whose sum is σ = 9515181312. Its totient is φ = 2345940000.

The previous prime is 4838513593. The next prime is 4838513663. The reversal of 4838513625 is 5263158384.

4838513625 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 5 + 13 + 625 = 666.

It is not a de Polignac number, because 4838513625 - 25 = 4838513593 is a prime.

It is a super-2 number, since 2×48385136252 = 46822428198621281250, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 183121 + ... + 207870.

It is an arithmetic number, because the mean of its divisors is an integer number (198232944).

Almost surely, 24838513625 is an apocalyptic number.

4838513625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4838513625 is a deficient number, since it is larger than the sum of its proper divisors (4676667687).

4838513625 is a wasteful number, since it uses less digits than its factorization.

4838513625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391023 (or 391010 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 4838513625 is about 69559.4251341973. The cubic root of 4838513625 is about 1691.3649354947.

The spelling of 4838513625 in words is "four billion, eight hundred thirty-eight million, five hundred thirteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 225 275 375 495 825 1125 1375 2475 4125 12375 390991 1172973 1954955 3518919 4300901 5864865 9774775 12902703 17594595 21504505 29324325 38708109 48873875 64513515 87972975 107522525 146621625 193540545 322567575 439864875 537612625 967702725 1612837875 4838513625