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642754021 = 721319232309
BaseRepresentation
bin100110010011111…
…010010111100101
31122210110021202111
4212103322113211
52304021112041
6143440241021
721633214300
oct4623722745
91583407674
10642754021
112aa8aa678
1215b310171
13a3217b30
1461515b37
153b665981
hex264fa5e5

642754021 has 48 divisors (see below), whose sum is σ = 884822400. Its totient is φ = 460639872.

The previous prime is 642754009. The next prime is 642754051. The reversal of 642754021 is 120457246.

It is not a de Polignac number, because 642754021 - 27 = 642753893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642754051) 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 47 ways as a sum of consecutive naturals, for example, 277215 + ... + 279523.

It is an arithmetic number, because the mean of its divisors is an integer number (18433800).

Almost surely, 2642754021 is an apocalyptic number.

It is an amenable number.

642754021 is a deficient number, since it is larger than the sum of its proper divisors (242068379).

642754021 is a wasteful number, since it uses less digits than its factorization.

642754021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 642754021 is about 25352.5939698485. The cubic root of 642754021 is about 863.0082235006.

The spelling of 642754021 in words is "six hundred forty-two million, seven hundred fifty-four thousand, twenty-one".

Divisors: 1 7 13 19 23 49 91 133 161 247 299 437 637 931 1127 1729 2093 2309 3059 5681 12103 14651 16163 21413 30017 39767 43871 53107 113141 210119 278369 307097 371749 570323 690391 1009033 1470833 2149679 2602243 3992261 4832737 7063231 13117429 27945827 33829159 49442617 91822003 642754021