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42345472 = 210133181
BaseRepresentation
bin1010000110001…
…0010000000000
32221200101001211
42201202100000
541320023342
64111335504
71022634121
oct241422000
987611054
1042345472
11219a2864
1212221594
138a082c0
1458a4048
153ab6c17
hex2862400

42345472 has 44 divisors (see below), whose sum is σ = 91189756. Its totient is φ = 19537920.

The previous prime is 42345469. The next prime is 42345491. The reversal of 42345472 is 27454324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4596736 + 37748736 = 2144^2 + 6144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11722 + ... + 14902.

Almost surely, 242345472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45594878).

42345472 is an abundant number, since it is smaller than the sum of its proper divisors (48844284).

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

42345472 is a wasteful number, since it uses less digits than its factorization.

42345472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3196 counting only the distinct ones).

The product of its digits is 26880, while the sum is 31.

The square root of 42345472 is about 6507.3398558858. The cubic root of 42345472 is about 348.5531345257.

Adding to 42345472 its reverse (27454324), we get a palindrome (69799796).

The spelling of 42345472 in words is "forty-two million, three hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3181 3328 6362 6656 12724 13312 25448 41353 50896 82706 101792 165412 203584 330824 407168 661648 814336 1323296 1628672 2646592 3257344 5293184 10586368 21172736 42345472