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4650026040 = 23325113137879
BaseRepresentation
bin1000101010010100…
…11100010000111000
3110000001211210112200
410111022130100320
534010401313130
62045230110200
7223142366142
oct42512342070
913001753480
104650026040
111a76900430
12a9934b360
135914b44ca
143217ddc92
151c3375760
hex11529c438

4650026040 has 192 divisors, whose sum is σ = 17018726400. Its totient is φ = 1090886400.

The previous prime is 4650026039. The next prime is 4650026057. The reversal of 4650026040 is 406200564.

It is a happy number.

4650026040 is a `hidden beast` number, since 4 + 6 + 50 + 0 + 2 + 604 + 0 = 666.

It is a super-4 number, since 4×46500260404 (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4650025995 and 4650026013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 103821 + ... + 141699.

It is an arithmetic number, because the mean of its divisors is an integer number (88639200).

Almost surely, 24650026040 is an apocalyptic number.

4650026040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4650026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509363200).

4650026040 is an abundant number, since it is smaller than the sum of its proper divisors (12368700360).

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

4650026040 is a wasteful number, since it uses less digits than its factorization.

4650026040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37938 (or 37931 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4650026040 is about 68191.0994192057. The cubic root of 4650026040 is about 1669.1106503257.

The spelling of 4650026040 in words is "four billion, six hundred fifty million, twenty-six thousand, forty".