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4205008429 = 171949126913
BaseRepresentation
bin1111101010100011…
…0101011000101101
3101212001110120010221
43322220311120231
532102440232204
61533131531341
7206126660536
oct37250653055
911761416127
104205008429
111868688086
129942b9b51
1352024058b
142bc67b68d
1519926d654
hexfaa3562d

4205008429 has 8 divisors (see below), whose sum is σ = 4454681400. Its totient is φ = 3955593216.

The previous prime is 4205008403. The next prime is 4205008501. The reversal of 4205008429 is 9248005024.

It can be written as a sum of positive squares in 4 ways, for example, as 2830452804 + 1374555625 = 53202^2 + 37075^2 .

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 4205008429 - 211 = 4205006381 is a prime.

It is a super-2 number, since 2×42050084292 = 35364191775922096082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4205008394 and 4205008403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205009429) 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, 30324 + ... + 96589.

It is an arithmetic number, because the mean of its divisors is an integer number (556835175).

Almost surely, 24205008429 is an apocalyptic number.

It is an amenable number.

4205008429 is a deficient number, since it is larger than the sum of its proper divisors (249672971).

4205008429 is a wasteful number, since it uses less digits than its factorization.

4205008429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128879.

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 4205008429 is about 64846.0363399337. The cubic root of 4205008429 is about 1614.0697200640.

The spelling of 4205008429 in words is "four billion, two hundred five million, eight thousand, four hundred twenty-nine".

Divisors: 1 17 1949 33133 126913 2157521 247353437 4205008429