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642381975 = 33521723789
BaseRepresentation
bin100110010010011…
…111100010010111
31122202202101102000
4212102133202113
52303422210400
6143424250343
721630104514
oct4622374227
91582671360
10642381975
112aa6760a4
1215b1709b3
13a31176a1
146145a30b
153b5e0600
hex2649f897

642381975 has 144 divisors (see below), whose sum is σ = 1301925600. Its totient is φ = 310210560.

The previous prime is 642381937. The next prime is 642381991. The reversal of 642381975 is 579183246.

It is not a de Polignac number, because 642381975 - 213 = 642373783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 642381975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7217731 + ... + 7217819.

It is an arithmetic number, because the mean of its divisors is an integer number (9041150).

Almost surely, 2642381975 is an apocalyptic number.

642381975 is an abundant number, since it is smaller than the sum of its proper divisors (659543625).

642381975 is a wasteful number, since it uses less digits than its factorization.

642381975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 642381975 is about 25345.2554731650. The cubic root of 642381975 is about 862.8416793706.

The spelling of 642381975 in words is "six hundred forty-two million, three hundred eighty-one thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 27 37 45 51 75 85 89 111 135 153 185 225 255 267 289 333 425 445 459 555 629 675 765 801 867 925 999 1275 1335 1445 1513 1665 1887 2225 2295 2403 2601 2775 3145 3293 3825 4005 4335 4539 4995 5661 6675 7225 7565 7803 8325 9435 9879 10693 11475 12015 13005 13617 15725 16465 16983 20025 21675 22695 24975 25721 28305 29637 32079 37825 39015 40851 47175 49395 53465 55981 60075 65025 68085 77163 82325 84915 88911 96237 113475 128605 141525 148185 160395 167943 195075 204255 231489 246975 267325 279905 288711 340425 385815 424575 444555 481185 503829 643025 694467 740925 801975 839715 951677 1021275 1157445 1399525 1443555 1511487 1929075 2222775 2405925 2519145 2855031 3472335 4198575 4758385 5787225 7217775 7557435 8565093 12595725 14275155 17361675 23791925 25695279 37787175 42825465 71375775 128476395 214127325 642381975