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4522009440 = 2535132924989
BaseRepresentation
bin1000011011000100…
…00110001101100000
3102200010221212210010
410031202012031200
533230113300230
62024414204520
7220026305664
oct41542061540
912603855703
104522009440
111a10613693
12a624b3740
13570b11740
1430c7d88a4
151b6ed99b0
hex10d886360

4522009440 has 192 divisors, whose sum is σ = 15869649600. Its totient is φ = 1074683904.

The previous prime is 4522009439. The next prime is 4522009447. The reversal of 4522009440 is 449002254.

It is a super-2 number, since 2×45220094402 = 40897138750898227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4522009398 and 4522009407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4522009447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168466 + ... + 193454.

It is an arithmetic number, because the mean of its divisors is an integer number (82654425).

Almost surely, 24522009440 is an apocalyptic number.

4522009440 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 4522009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934824800).

4522009440 is an abundant number, since it is smaller than the sum of its proper divisors (11347640160).

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

4522009440 is a wasteful number, since it uses less digits than its factorization.

4522009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25049 (or 25041 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4522009440 is about 67245.8879040198. The cubic root of 4522009440 is about 1653.6508618082.

The spelling of 4522009440 in words is "four billion, five hundred twenty-two million, nine thousand, four hundred forty".