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42872400 = 24325211909
BaseRepresentation
bin1010001110001…
…0111001010000
32222200010212200
42203202321100
541433404100
64130523200
71030260264
oct243427120
988603780
1042872400
112222273a
1212436500
138b610ac
1459a00a4
153b6ce00
hex28e2e50

42872400 has 90 divisors (see below), whose sum is σ = 148791630. Its totient is φ = 11431680.

The previous prime is 42872399. The next prime is 42872491. The reversal of 42872400 is 427824.

It can be written as a sum of positive squares in 3 ways, for example, as 1192464 + 41679936 = 1092^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2355 + ... + 9554.

Almost surely, 242872400 is an apocalyptic number.

42872400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74395815).

42872400 is an abundant number, since it is smaller than the sum of its proper divisors (105919230).

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

42872400 is a wasteful number, since it uses less digits than its factorization.

42872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11933 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42872400 is about 6547.7018869219. The cubic root of 42872400 is about 349.9929250271.

The spelling of 42872400 in words is "forty-two million, eight hundred seventy-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 11909 23818 35727 47636 59545 71454 95272 107181 119090 142908 178635 190544 214362 238180 285816 297725 357270 428724 476360 535905 571632 595450 714540 857448 893175 952720 1071810 1190900 1429080 1714896 1786350 2143620 2381800 2679525 2858160 3572700 4287240 4763600 5359050 7145400 8574480 10718100 14290800 21436200 42872400