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642249951 = 37195712819
BaseRepresentation
bin100110010001111…
…111010011011111
31122202111200022020
4212101333103133
52303403444301
6143421351223
721626014560
oct4621772337
91582450266
10642249951
112aa595992
1215b108513
13a309c575
1461424167
153b5b6436
hex2647f4df

642249951 has 32 divisors (see below), whose sum is σ = 1032345600. Its totient is φ = 346952160.

The previous prime is 642249941. The next prime is 642249991. The reversal of 642249951 is 159942246.

It is not a de Polignac number, because 642249951 - 214 = 642233567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642249911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226420 + ... + 229238.

It is an arithmetic number, because the mean of its divisors is an integer number (32260800).

Almost surely, 2642249951 is an apocalyptic number.

642249951 is a deficient number, since it is larger than the sum of its proper divisors (390095649).

642249951 is a wasteful number, since it uses less digits than its factorization.

642249951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419.

The product of its digits is 155520, while the sum is 42.

The square root of 642249951 is about 25342.6508281987. The cubic root of 642249951 is about 862.7825641716.

The spelling of 642249951 in words is "six hundred forty-two million, two hundred forty-nine thousand, nine hundred fifty-one".

Divisors: 1 3 7 19 21 57 133 399 571 1713 2819 3997 8457 10849 11991 19733 32547 53561 59199 75943 160683 227829 374927 1124781 1609649 4828947 11267543 30583331 33802629 91749993 214083317 642249951