Search a number
-
+
4574077040 = 245134398151
BaseRepresentation
bin1000100001010001…
…01110000001110000
3102210202221012002202
410100220232001300
533331430431130
62033514202332
7221231004401
oct42050560160
912722835082
104574077040
111a37a46865
12a77a233a8
1357b841c80
143156ad9a8
151bb872145
hex110a2e070

4574077040 has 40 divisors (see below), whose sum is σ = 11452787808. Its totient is φ = 1688889600.

The previous prime is 4574077007. The next prime is 4574077049. The reversal of 4574077040 is 407704754.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4574076985 and 4574077003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4574077049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2198036 + ... + 2200115.

Almost surely, 24574077040 is an apocalyptic number.

4574077040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4574077040 is an abundant number, since it is smaller than the sum of its proper divisors (6878710768).

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

4574077040 is a wasteful number, since it uses less digits than its factorization.

4574077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398177 (or 4398171 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 38.

The square root of 4574077040 is about 67631.9232315628. The cubic root of 4574077040 is about 1659.9735129078.

The spelling of 4574077040 in words is "four billion, five hundred seventy-four million, seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 4398151 8796302 17592604 21990755 35185208 43981510 57175963 70370416 87963020 114351926 175926040 228703852 285879815 351852080 457407704 571759630 914815408 1143519260 2287038520 4574077040