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4200408577 = 61373184609
BaseRepresentation
bin1111101001011101…
…0010011000000001
3101211201210212100001
43322113102120001
532100301033302
61532445200001
7206042612101
oct37227223001
911751725301
104200408577
111866026152
12992860001
1351c2bc981
142bbc01201
15198b60787
hexfa5d2601

4200408577 has 8 divisors (see below), whose sum is σ = 4280736680. Its totient is φ = 4120450560.

The previous prime is 4200408571. The next prime is 4200408623. The reversal of 4200408577 is 7758040024.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 4198910401 = 1224^2 + 64799^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4200408577 - 27 = 4200408449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4200408571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69552 + ... + 115057.

It is an arithmetic number, because the mean of its divisors is an integer number (535092085).

Almost surely, 24200408577 is an apocalyptic number.

It is an amenable number.

4200408577 is a deficient number, since it is larger than the sum of its proper divisors (80328103).

4200408577 is a wasteful number, since it uses less digits than its factorization.

4200408577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185043.

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 4200408577 is about 64810.5591474105. The cubic root of 4200408577 is about 1613.4809625691.

The spelling of 4200408577 in words is "four billion, two hundred million, four hundred eight thousand, five hundred seventy-seven".

Divisors: 1 61 373 22753 184609 11261149 68859157 4200408577