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828879601 = 1175352691
BaseRepresentation
bin110001011001111…
…011001011110001
32010202200110001111
4301121323023301
53144143121401
6214125433321
726353234414
oct6131731361
92122613044
10828879601
11395976570
121b170b841
13102954c04
147c125b7b
154cb7de51
hex3167b2f1

828879601 has 4 divisors (see below), whose sum is σ = 904232304. Its totient is φ = 753526900.

The previous prime is 828879577. The next prime is 828879641. The reversal of 828879601 is 106978828.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 828879601 - 27 = 828879473 is a prime.

It is a super-3 number, since 3×8288796013 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828879641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37676335 + ... + 37676356.

It is an arithmetic number, because the mean of its divisors is an integer number (226058076).

Almost surely, 2828879601 is an apocalyptic number.

It is an amenable number.

828879601 is a deficient number, since it is larger than the sum of its proper divisors (75352703).

828879601 is a wasteful number, since it uses less digits than its factorization.

828879601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75352702.

The product of its (nonzero) digits is 387072, while the sum is 49.

The square root of 828879601 is about 28790.2692067997. The cubic root of 828879601 is about 939.3565843641.

The spelling of 828879601 in words is "eight hundred twenty-eight million, eight hundred seventy-nine thousand, six hundred one".

Divisors: 1 11 75352691 828879601