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642249909 = 327231109431
BaseRepresentation
bin100110010001111…
…111010010110101
31122202111200020200
4212101333102311
52303403444114
6143421351113
721626014500
oct4621772265
91582450220
10642249909
112aa595954
1215b108499
13a309c542
1461424137
153b5b6409
hex2647f4b5

642249909 has 72 divisors (see below), whose sum is σ = 1126794240. Its totient is φ = 351086400.

The previous prime is 642249857. The next prime is 642249911. The reversal of 642249909 is 909942246.

It is a happy number.

It is not a de Polignac number, because 642249909 - 27 = 642249781 is a prime.

It is a super-2 number, since 2×6422499092 = 824969891221016562, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642249929) 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 71 ways as a sum of consecutive naturals, for example, 1489924 + ... + 1490354.

It is an arithmetic number, because the mean of its divisors is an integer number (15649920).

Almost surely, 2642249909 is an apocalyptic number.

It is an amenable number.

642249909 is a deficient number, since it is larger than the sum of its proper divisors (484544331).

642249909 is a wasteful number, since it uses less digits than its factorization.

642249909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 642249909 is about 25342.6499995561. The cubic root of 642249909 is about 862.7825453644.

The spelling of 642249909 in words is "six hundred forty-two million, two hundred forty-nine thousand, nine hundred nine".

Divisors: 1 3 7 9 21 31 49 63 93 109 147 217 279 327 431 441 651 763 981 1293 1519 1953 2289 3017 3379 3879 4557 5341 6867 9051 10137 13361 13671 16023 21119 23653 27153 30411 40083 46979 48069 63357 70959 93527 120249 140937 165571 190071 212877 280581 328853 422811 496713 654689 841743 986559 1456349 1490139 1964067 2301971 2959677 4369047 5892201 6905913 10194443 13107141 20717739 30583329 71361101 91749987 214083303 642249909