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42331400 = 2352211657
BaseRepresentation
bin1010000101111…
…0110100001000
32221122122202122
42201132310020
541314101100
64111150412
71022545106
oct241366410
987578678
1042331400
1121993231
1212215408
138a01a87
14589cc76
153ab2985
hex285ed08

42331400 has 24 divisors (see below), whose sum is σ = 98420970. Its totient is φ = 16932480.

The previous prime is 42331391. The next prime is 42331427. The reversal of 42331400 is 413324.

It can be written as a sum of positive squares in 3 ways, for example, as 39212644 + 3118756 = 6262^2 + 1766^2 .

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 5 ways as a sum of consecutive naturals, for example, 105629 + ... + 106028.

Almost surely, 242331400 is an apocalyptic number.

42331400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42331400 is an abundant number, since it is smaller than the sum of its proper divisors (56089570).

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

42331400 is a wasteful number, since it uses less digits than its factorization.

42331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211673 (or 211664 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42331400 is about 6506.2585254507. The cubic root of 42331400 is about 348.5145205339.

Adding to 42331400 its reverse (413324), we get a palindrome (42744724).

The spelling of 42331400 in words is "forty-two million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211657 423314 846628 1058285 1693256 2116570 4233140 5291425 8466280 10582850 21165700 42331400