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42875340800 = 21152837409
BaseRepresentation
bin100111111011100100…
…011100100000000000
311002200001111222120012
4213323210130200000
51200302041401200
631410251204052
73045330245405
oct477344344000
9132601458505
1042875340800
1117202015156
128386a46628
13407399b256
14210a4042ac
1511ae154a35
hex9fb91c800

42875340800 has 72 divisors (see below), whose sum is σ = 106305012450. Its totient is φ = 17150115840.

The previous prime is 42875340763. The next prime is 42875340839. The reversal of 42875340800 is 804357824.

It can be written as a sum of positive squares in 3 ways, for example, as 23113729024 + 19761611776 = 152032^2 + 140576^2 .

It is a super-2 number, since 2×428753408002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 367505 + ... + 469904.

Almost surely, 242875340800 is an apocalyptic number.

42875340800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42875340800 is an abundant number, since it is smaller than the sum of its proper divisors (63429671650).

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

42875340800 is an equidigital number, since it uses as much as digits as its factorization.

42875340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837441 (or 837416 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 42875340800 in words is "forty-two billion, eight hundred seventy-five million, three hundred forty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 5120 6400 10240 12800 25600 51200 837409 1674818 3349636 4187045 6699272 8374090 13398544 16748180 20935225 26797088 33496360 41870450 53594176 66992720 83740900 107188352 133985440 167481800 214376704 267970880 334963600 428753408 535941760 669927200 857506816 1071883520 1339854400 1715013632 2143767040 2679708800 4287534080 5359417600 8575068160 10718835200 21437670400 42875340800