Search a number
-
+
4505783040 = 283251131237
BaseRepresentation
bin1000011001001000…
…01100101100000000
3102122000102111100100
410030210030230000
533211440024130
62023034322400
7216441344463
oct41444145400
912560374310
104505783040
111a02440540
12a58b89400
1356a64cb15
1430a5b32da
151b5881c60
hex10c90cb00

4505783040 has 648 divisors, whose sum is σ = 18048021264. Its totient is φ = 1028505600.

The previous prime is 4505783033. The next prime is 4505783057. The reversal of 4505783040 is 403875054.

4505783040 is a `hidden beast` number, since 4 + 50 + 578 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4505782986 and 4505783004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121777902 + ... + 121777938.

Almost surely, 24505783040 is an apocalyptic number.

4505783040 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 4505783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024010632).

4505783040 is an abundant number, since it is smaller than the sum of its proper divisors (13542238224).

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

4505783040 is a wasteful number, since it uses less digits than its factorization.

4505783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4505783040 is about 67125.1297205450. The cubic root of 4505783040 is about 1651.6705504965.

The spelling of 4505783040 in words is "four billion, five hundred five million, seven hundred eighty-three thousand, forty".