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142367248 = 2417895881
BaseRepresentation
bin10000111110001…
…01101000010000
3100220220000011001
420133011220100
5242421222443
622043231344
73346046602
oct1037055020
9326800131
10142367248
11733a9691
123b818554
132365899a
1414c9d172
15c772d4d
hex87c5a10

142367248 has 40 divisors (see below), whose sum is σ = 295394040. Its totient is φ = 66232320.

The previous prime is 142367237. The next prime is 142367257. The reversal of 142367248 is 842763241.

It can be written as a sum of positive squares in 4 ways, for example, as 39790864 + 102576384 = 6308^2 + 10128^2 .

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 7 ways as a sum of consecutive naturals, for example, 21268 + ... + 27148.

It is an arithmetic number, because the mean of its divisors is an integer number (7384851).

Almost surely, 2142367248 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 142367248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147697020).

142367248 is an abundant number, since it is smaller than the sum of its proper divisors (153026792).

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

142367248 is a wasteful number, since it uses less digits than its factorization.

142367248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995 (or 5989 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 142367248 is about 11931.7747213061. The cubic root of 142367248 is about 522.1597158593.

The spelling of 142367248 in words is "one hundred forty-two million, three hundred sixty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 712 1424 1513 3026 5881 6052 11762 12104 23524 24208 47048 94096 99977 199954 399908 523409 799816 1046818 1599632 2093636 4187272 8374544 8897953 17795906 35591812 71183624 142367248