Search a number
-
+
4505255040 = 2735111361269
BaseRepresentation
bin1000011001000100…
…01011110010000000
3102121222102200001210
410030202023302000
533211321130130
62023015130120
7216434015226
oct41442136200
912558380053
104505255040
111a0210a880
12a58973940
1356a4c66b0
1430a4b6b16
151b57ca5b0
hex10c88bc80

4505255040 has 512 divisors, whose sum is σ = 17211398400. Its totient is φ = 987955200.

The previous prime is 4505254987. The next prime is 4505255057. The reversal of 4505255040 is 405525054.

It is a super-3 number, since 3×45052550403 (a number of 30 digits) contains 333 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 = 4505254989 and 4505255007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16748026 + ... + 16748294.

Almost surely, 24505255040 is an apocalyptic number.

4505255040 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 4505255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605699200).

4505255040 is an abundant number, since it is smaller than the sum of its proper divisors (12706143360).

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

4505255040 is a wasteful number, since it uses less digits than its factorization.

4505255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 4505255040 is about 67121.1966520264. The cubic root of 4505255040 is about 1651.6060322164.

The spelling of 4505255040 in words is "four billion, five hundred five million, two hundred fifty-five thousand, forty".