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4290917125 = 53112283697
BaseRepresentation
bin1111111111000010…
…0011001100000101
3102002001010011201111
43333300203030011
532241433322000
61545441125021
7211222123315
oct37760431405
912061104644
104290917125
111902124600
129b9029771
13534c8c221
142c9c41445
151a1a8ccba
hexffc23305

4290917125 has 24 divisors (see below), whose sum is σ = 5886166104. Its totient is φ = 3120656000.

The previous prime is 4290917119. The next prime is 4290917129. The reversal of 4290917125 is 5217190924.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 340291809 + 3950625316 = 18447^2 + 62854^2 .

It is not a de Polignac number, because 4290917125 - 25 = 4290917093 is a prime.

It is a super-3 number, since 3×42909171253 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290917129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 126724 + ... + 156973.

It is an arithmetic number, because the mean of its divisors is an integer number (245256921).

Almost surely, 24290917125 is an apocalyptic number.

It is an amenable number.

4290917125 is a deficient number, since it is larger than the sum of its proper divisors (1595248979).

4290917125 is a wasteful number, since it uses less digits than its factorization.

4290917125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283734 (or 283713 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 4290917125 is about 65505.0923592968. The cubic root of 4290917125 is about 1624.9875659798.

The spelling of 4290917125 in words is "four billion, two hundred ninety million, nine hundred seventeen thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 1375 3025 15125 283697 1418485 3120667 7092425 15603335 34327337 35462125 78016675 171636685 390083375 858183425 4290917125