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42262272 = 2832131783
BaseRepresentation
bin1010000100110…
…1111100000000
32221112010221100
42201031330000
541304343042
64105454400
71022136423
oct241157400
987463840
1042262272
11219462a8
12121a1400
1389a9480
1458819ba
153a9c24c
hex284df00

42262272 has 216 divisors, whose sum is σ = 140619024. Its totient is φ = 12091392.

The previous prime is 42262261. The next prime is 42262277. The reversal of 42262272 is 27226224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42262277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509143 + ... + 509225.

It is an arithmetic number, because the mean of its divisors is an integer number (651014).

Almost surely, 242262272 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 42262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70309512).

42262272 is an abundant number, since it is smaller than the sum of its proper divisors (98356752).

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

42262272 is a wasteful number, since it uses less digits than its factorization.

42262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 42262272 is about 6500.9439314610. The cubic root of 42262272 is about 348.3247068418.

Adding to 42262272 its reverse (27226224), we get a palindrome (69488496).

The spelling of 42262272 in words is "forty-two million, two hundred sixty-two thousand, two hundred seventy-two".