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42262224 = 2432338281
BaseRepresentation
bin1010000100110…
…1111011010000
32221112010212120
42201031323100
541304342344
64105454240
71022136324
oct241157320
987463776
1042262224
1121946264
12121a1380
1389a9444
145881984
153a9c219
hex284ded0

42262224 has 40 divisors (see below), whose sum is σ = 113927232. Its totient is φ = 13474560.

The previous prime is 42262223. The next prime is 42262237. The reversal of 42262224 is 42226224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42262194 and 42262203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42262223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18037 + ... + 20244.

Almost surely, 242262224 is an apocalyptic number.

It is an amenable number.

42262224 is an abundant number, since it is smaller than the sum of its proper divisors (71665008).

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

42262224 is a wasteful number, since it uses less digits than its factorization.

42262224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38315 (or 38309 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 42262224 is about 6500.9402396884. The cubic root of 42262224 is about 348.3245749701.

Adding to 42262224 its reverse (42226224), we get a palindrome (84488448).

It can be divided in two parts, 42262 and 224, that added together give a triangular number (42486 = T291).

The spelling of 42262224 in words is "forty-two million, two hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 38281 76562 114843 153124 229686 306248 459372 612496 880463 918744 1760926 1837488 2641389 3521852 5282778 7043704 10565556 14087408 21131112 42262224