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642275601 = 311196715289
BaseRepresentation
bin100110010010000…
…101100100010001
31122202112222111020
4212102011210101
52303410304401
6143422110053
721626152422
oct4622054421
91582488436
10642275601
112aa603190
1215b11b329
13a30ab146
146142d649
153b5bdd36
hex26485911

642275601 has 32 divisors (see below), whose sum is σ = 998131200. Its totient is φ = 363242880.

The previous prime is 642275597. The next prime is 642275653. The reversal of 642275601 is 106572246.

It is not a de Polignac number, because 642275601 - 22 = 642275597 is a prime.

It is a super-2 number, since 2×6422756012 = 825035895279822402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (642275801) 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 31 ways as a sum of consecutive naturals, for example, 34365 + ... + 49653.

It is an arithmetic number, because the mean of its divisors is an integer number (31191600).

Almost surely, 2642275601 is an apocalyptic number.

It is an amenable number.

642275601 is a deficient number, since it is larger than the sum of its proper divisors (355855599).

642275601 is a wasteful number, since it uses less digits than its factorization.

642275601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15389.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 642275601 is about 25343.1568870178. The cubic root of 642275601 is about 862.7940498755.

The spelling of 642275601 in words is "six hundred forty-two million, two hundred seventy-five thousand, six hundred one".

Divisors: 1 3 11 19 33 57 67 201 209 627 737 1273 2211 3819 14003 15289 42009 45867 168179 290491 504537 871473 1024363 3073089 3195401 9586203 11267993 19462897 33803979 58388691 214091867 642275601