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42100400 = 2452105251
BaseRepresentation
bin1010000010011…
…0011010110000
32221012220220002
42200212122300
541234203100
64102205132
71020563456
oct240463260
987186802
1042100400
1121845721
12121237a8
1389508a4
14583c9d6
153a692d5
hex28266b0

42100400 has 30 divisors (see below), whose sum is σ = 101147172. Its totient is φ = 16840000.

The previous prime is 42100379. The next prime is 42100403. The reversal of 42100400 is 400124.

It is not an unprimeable number, because it can be changed into a prime (42100403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52226 + ... + 53025.

Almost surely, 242100400 is an apocalyptic number.

42100400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42100400 is an abundant number, since it is smaller than the sum of its proper divisors (59046772).

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

42100400 is a wasteful number, since it uses less digits than its factorization.

42100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105269 (or 105258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42100400 is about 6488.4821029267. The cubic root of 42100400 is about 347.8794227087.

Adding to 42100400 its reverse (400124), we get a palindrome (42500524).

The spelling of 42100400 in words is "forty-two million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 105251 210502 421004 526255 842008 1052510 1684016 2105020 2631275 4210040 5262550 8420080 10525100 21050200 42100400