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4625401041 = 324096611901
BaseRepresentation
bin1000100111011001…
…00000010011010001
3102221100111201101200
410103230200103101
533433100313131
62042550221413
7222423155142
oct42354402321
912840451350
104625401041
111a63a11298
12a91054869
13589371bc1
1431c42dac9
151c110e2e6
hex113b204d1

4625401041 has 24 divisors (see below), whose sum is σ = 6711130920. Its totient is φ = 3069792000.

The previous prime is 4625401037. The next prime is 4625401049. The reversal of 4625401041 is 1401045264.

It can be written as a sum of positive squares in 4 ways, for example, as 1253160000 + 3372241041 = 35400^2 + 58071^2 .

It is not a de Polignac number, because 4625401041 - 22 = 4625401037 is a prime.

It is a super-4 number, since 4×46254010414 (a number of 40 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4625400996 and 4625401014.

It is not an unprimeable number, because it can be changed into a prime (4625401049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2432191 + ... + 2434091.

It is an arithmetic number, because the mean of its divisors is an integer number (279630455).

Almost surely, 24625401041 is an apocalyptic number.

It is an amenable number.

4625401041 is a deficient number, since it is larger than the sum of its proper divisors (2085729879).

4625401041 is a wasteful number, since it uses less digits than its factorization.

4625401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4625401041 is about 68010.3009918351. The cubic root of 4625401041 is about 1666.1590814612.

The spelling of 4625401041 in words is "four billion, six hundred twenty-five million, four hundred one thousand, forty-one".

Divisors: 1 3 9 409 661 1227 1901 1983 3681 5703 5949 17109 270349 777509 811047 1256561 2332527 2433141 3769683 6997581 11309049 513933449 1541800347 4625401041