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420593769 = 3315679941
BaseRepresentation
bin11001000100011…
…100000001101001
31002022102101012000
4121010130001221
51330133000034
6105422441213
713264662621
oct3104340151
91068371160
10420593769
111a6461362
12b8a33209
13691a206b
143dc05881
1526dd0599
hex1911c069

420593769 has 16 divisors (see below), whose sum is σ = 623562240. Its totient is φ = 280188720.

The previous prime is 420593729. The next prime is 420593777. The reversal of 420593769 is 967395024.

It is a happy number.

It is not a de Polignac number, because 420593769 - 223 = 412205161 is a prime.

It is a super-2 number, since 2×4205937692 = 353798237043250722, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (420593729) 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 15 ways as a sum of consecutive naturals, for example, 37339 + ... + 47279.

It is an arithmetic number, because the mean of its divisors is an integer number (38972640).

Almost surely, 2420593769 is an apocalyptic number.

It is an amenable number.

420593769 is a deficient number, since it is larger than the sum of its proper divisors (202968471).

420593769 is a wasteful number, since it uses less digits than its factorization.

420593769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11517 (or 11511 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 420593769 is about 20508.3828957819. The cubic root of 420593769 is about 749.2399820905.

The spelling of 420593769 in words is "four hundred twenty million, five hundred ninety-three thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 1567 4701 9941 14103 29823 42309 89469 268407 15577547 46732641 140197923 420593769