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4004024125 = 53415314741
BaseRepresentation
bin1110111010101000…
…1000111100111101
3101100001021111111211
43232222020330331
531200012233000
61501152044421
7201136433503
oct35652107475
911301244454
104004024125
111775192652
12938b33711
134ba70025a
1429dac0673
151867bc7ba
hexeea88f3d

4004024125 has 32 divisors (see below), whose sum is σ = 5215837536. Its totient is φ = 3065920000.

The previous prime is 4004024117. The next prime is 4004024159. The reversal of 4004024125 is 5214204004.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2282355076 + 1721669049 = 47774^2 + 41493^2 .

It is not a de Polignac number, because 4004024125 - 23 = 4004024117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4004024096 and 4004024105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264255 + ... + 278995.

It is an arithmetic number, because the mean of its divisors is an integer number (162994923).

Almost surely, 24004024125 is an apocalyptic number.

It is an amenable number.

4004024125 is a deficient number, since it is larger than the sum of its proper divisors (1211813411).

4004024125 is a wasteful number, since it uses less digits than its factorization.

4004024125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14850 (or 14840 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4004024125 is about 63277.3587075188. The cubic root of 4004024125 is about 1587.9331985776.

Adding to 4004024125 its reverse (5214204004), we get a palindrome (9218228129).

The spelling of 4004024125 in words is "four billion, four million, twenty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 41 53 125 205 265 1025 1325 2173 5125 6625 10865 14741 54325 73705 271625 368525 604381 781273 1842625 3021905 3906365 15109525 19531825 32032193 75547625 97659125 160160965 800804825 4004024125