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152142112 = 25171491877
BaseRepresentation
bin10010001000110…
…00000100100000
3101121021121202001
421010120010200
5302422021422
623032533344
73525121003
oct1104300440
9347247661
10152142112
1178975691
1242b51254
132569bc25
14162c553a
15d554227
hex9118120

152142112 has 48 divisors (see below), whose sum is σ = 319447800. Its totient is φ = 71077888.

The previous prime is 152142073. The next prime is 152142119. The reversal of 152142112 is 211241251.

It can be written as a sum of positive squares in 4 ways, for example, as 129140496 + 23001616 = 11364^2 + 4796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152142112.

It is not an unprimeable number, because it can be changed into a prime (152142119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80118 + ... + 81994.

Almost surely, 2152142112 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 152142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159723900).

152142112 is an abundant number, since it is smaller than the sum of its proper divisors (167305688).

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

152142112 is a wasteful number, since it uses less digits than its factorization.

152142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2045 counting only the distinct ones).

The product of its digits is 160, while the sum is 19.

The square root of 152142112 is about 12334.5900620977. The cubic root of 152142112 is about 533.8465989441.

Adding to 152142112 its reverse (211241251), we get a palindrome (363383363).

The spelling of 152142112 in words is "one hundred fifty-two million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 149 272 298 544 596 1192 1877 2384 2533 3754 4768 5066 7508 10132 15016 20264 30032 31909 40528 60064 63818 81056 127636 255272 279673 510544 559346 1021088 1118692 2237384 4474768 4754441 8949536 9508882 19017764 38035528 76071056 152142112