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642754926 = 238116173
BaseRepresentation
bin100110010011111…
…010100101101110
31122210110100000000
4212103322211232
52304021124201
6143440245130
721633220032
oct4623724556
91583410000
10642754926
112aa900320
1215b3107a6
13a3218378
14615161c2
153b665d86
hex264fa96e

642754926 has 144 divisors (see below), whose sum is σ = 1625418288. Its totient is φ = 188956800.

The previous prime is 642754913. The next prime is 642754943. The reversal of 642754926 is 629457246.

642754926 is a `hidden beast` number, since 64 + 27 + 549 + 26 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 8804826 + ... + 8804898.

It is an arithmetic number, because the mean of its divisors is an integer number (11287627).

Almost surely, 2642754926 is an apocalyptic number.

642754926 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 642754926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812709144).

642754926 is an abundant number, since it is smaller than the sum of its proper divisors (982663362).

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

642754926 is an equidigital number, since it uses as much as digits as its factorization.

642754926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 642754926 is about 25352.6118181145. The cubic root of 642754926 is about 863.0086285400.

The spelling of 642754926 in words is "six hundred forty-two million, seven hundred fifty-four thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 73 81 99 122 146 162 183 198 219 243 297 366 438 486 549 594 657 671 729 803 891 1098 1314 1342 1458 1606 1647 1782 1971 2013 2187 2409 2673 3294 3942 4026 4374 4453 4818 4941 5346 5913 6039 6561 7227 8019 8906 9882 11826 12078 13122 13359 14454 14823 16038 17739 18117 21681 24057 26718 29646 35478 36234 40077 43362 44469 48114 48983 53217 54351 65043 72171 80154 88938 97966 106434 108702 120231 130086 133407 144342 146949 159651 163053 195129 240462 266814 293898 319302 326106 360693 390258 400221 440847 478953 489159 585387 721386 800442 881694 957906 978318 1082079 1170774 1322541 1467477 1756161 2164158 2645082 2934954 3246237 3512322 3967623 4402431 5268483 6492474 7935246 8804862 9738711 10536966 11902869 19477422 23805738 29216133 35708607 58432266 71417214 107125821 214251642 321377463 642754926