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42958201 = 11131741431
BaseRepresentation
bin1010001111011…
…1110101111001
32222211111120111
42203313311321
541444130301
64132424321
71031065366
oct243676571
988744514
1042958201
1122281150
12124780a1
138b91170
1459c346d
153b88551
hex28f7d79

42958201 has 32 divisors (see below), whose sum is σ = 54867456. Its totient is φ = 33024000.

The previous prime is 42958199. The next prime is 42958217. The reversal of 42958201 is 10285924.

It is a cyclic number.

It is not a de Polignac number, because 42958201 - 21 = 42958199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42958261) 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 31 ways as a sum of consecutive naturals, for example, 99456 + ... + 99886.

It is an arithmetic number, because the mean of its divisors is an integer number (1714608).

Almost surely, 242958201 is an apocalyptic number.

42958201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42958201 is a deficient number, since it is larger than the sum of its proper divisors (11909255).

42958201 is a wasteful number, since it uses less digits than its factorization.

42958201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 42958201 is about 6554.2506055231. The cubic root of 42958201 is about 350.2262509917.

The spelling of 42958201 in words is "forty-two million, nine hundred fifty-eight thousand, two hundred one".

Divisors: 1 11 13 17 41 143 187 221 431 451 533 697 2431 4741 5603 5863 7327 7667 9061 17671 61633 80597 95251 99671 194381 229723 300407 1047761 2526953 3304477 3905291 42958201