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642103632 = 24331978229
BaseRepresentation
bin100110010001011…
…011100101010000
31122202020020121000
4212101123211100
52303334304012
6143414302000
721624535152
oct4621334520
91582206530
10642103632
112aa4a5a65
1215b057900
13a304aaa1
14613c6ad2
153b587ddc
hex2645b950

642103632 has 80 divisors (see below), whose sum is σ = 1940104000. Its totient is φ = 202766976.

The previous prime is 642103619. The next prime is 642103633. The reversal of 642103632 is 236301246.

642103632 is a `hidden beast` number, since 6 + 4 + 21 + 0 + 3 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 642103596 and 642103605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642103633) 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, 30907 + ... + 47322.

It is an arithmetic number, because the mean of its divisors is an integer number (24251300).

Almost surely, 2642103632 is an apocalyptic number.

It is an amenable number.

642103632 is an abundant number, since it is smaller than the sum of its proper divisors (1298000368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642103632 is a wasteful number, since it uses less digits than its factorization.

642103632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78265 (or 78253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 642103632 is about 25339.7638505176. The cubic root of 642103632 is about 862.7170387637.

Adding to 642103632 its reverse (236301246), we get a palindrome (878404878).

The spelling of 642103632 in words is "six hundred forty-two million, one hundred three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 78229 156458 234687 312916 469374 625832 704061 938748 1251664 1408122 1486351 1877496 2112183 2816244 2972702 3754992 4224366 4459053 5632488 5945404 8448732 8918106 11264976 11890808 13377159 16897464 17836212 23781616 26754318 33794928 35672424 40131477 53508636 71344848 80262954 107017272 160525908 214034544 321051816 642103632