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42242600 = 2352211213
BaseRepresentation
bin1010000100100…
…1001000101000
32221111010221202
42201021020220
541303230400
64105223332
71022025161
oct241111050
987433852
1042242600
1121932544
1212191b48
1389a052a
145878768
153a964d5
hex2849228

42242600 has 24 divisors (see below), whose sum is σ = 98214510. Its totient is φ = 16896960.

The previous prime is 42242597. The next prime is 42242609. The reversal of 42242600 is 624224.

It can be written as a sum of positive squares in 3 ways, for example, as 17422276 + 24820324 = 4174^2 + 4982^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42242609) 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, 105407 + ... + 105806.

Almost surely, 242242600 is an apocalyptic number.

42242600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242600 is an abundant number, since it is smaller than the sum of its proper divisors (55971910).

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

42242600 is a wasteful number, since it uses less digits than its factorization.

42242600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211229 (or 211220 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42242600 is about 6499.4307443037. The cubic root of 42242600 is about 348.2706530584.

Adding to 42242600 its reverse (624224), we get a palindrome (42866824).

The spelling of 42242600 in words is "forty-two million, two hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211213 422426 844852 1056065 1689704 2112130 4224260 5280325 8448520 10560650 21121300 42242600