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642831201 = 33127187469
BaseRepresentation
bin100110010100001…
…101001101100001
31122210121012122000
4212110031031201
52304031044301
6143442034213
721633655305
oct4624151541
91583535560
10642831201
112aa952661
1215b348969
13a3243cbc
1461535d05
153b67d786
hex2650d361

642831201 has 16 divisors (see below), whose sum is σ = 959846400. Its totient is φ = 425177424.

The previous prime is 642831191. The next prime is 642831227. The reversal of 642831201 is 102138246.

642831201 is a `hidden beast` number, since 6 + 428 + 31 + 201 = 666.

It is not a de Polignac number, because 642831201 - 215 = 642798433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (642831271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90306 + ... + 97163.

It is an arithmetic number, because the mean of its divisors is an integer number (59990400).

Almost surely, 2642831201 is an apocalyptic number.

It is an amenable number.

642831201 is a deficient number, since it is larger than the sum of its proper divisors (317015199).

642831201 is a wasteful number, since it uses less digits than its factorization.

642831201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187605 (or 187599 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 642831201 is about 25354.1160563724. The cubic root of 642831201 is about 863.0427646089.

Adding to 642831201 its reverse (102138246), we get a palindrome (744969447).

The spelling of 642831201 in words is "six hundred forty-two million, eight hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 27 127 381 1143 3429 187469 562407 1687221 5061663 23808563 71425689 214277067 642831201