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42248268 = 22329191277
BaseRepresentation
bin1010000100101…
…0100001001100
32221111102201200
42201022201030
541303421033
64105305500
71022050536
oct241124114
987442650
1042248268
1121936827
1212195290
1389a2c9a
14587a856
153a98013
hex284a84c

42248268 has 36 divisors (see below), whose sum is σ = 106994160. Its totient is φ = 14056416.

The previous prime is 42248249. The next prime is 42248293. The reversal of 42248268 is 86284224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×422482682 = 3569832297999648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32446 + ... + 33722.

It is an arithmetic number, because the mean of its divisors is an integer number (2972060).

Almost surely, 242248268 is an apocalyptic number.

It is an amenable number.

42248268 is an abundant number, since it is smaller than the sum of its proper divisors (64745892).

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

42248268 is a wasteful number, since it uses less digits than its factorization.

42248268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2201 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42248268 is about 6499.8667678653. The cubic root of 42248268 is about 348.2862290392.

The spelling of 42248268 in words is "forty-two million, two hundred forty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 919 1277 1838 2554 2757 3676 3831 5108 5514 7662 8271 11028 11493 15324 16542 22986 33084 45972 1173563 2347126 3520689 4694252 7041378 10562067 14082756 21124134 42248268