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142244352 = 293230869
BaseRepresentation
bin10000111101001…
…11101000000000
3100220122202120100
420132213220000
5242403304402
622040442400
73345025365
oct1036475000
9326582510
10142244352
1173325318
123b779400
1323614a73
1414c6a46c
15c74b71c
hex87a7a00

142244352 has 60 divisors (see below), whose sum is σ = 410540130. Its totient is φ = 47413248.

The previous prime is 142244327. The next prime is 142244353. The reversal of 142244352 is 253442241.

142244352 is a `hidden beast` number, since 1 + 4 + 224 + 435 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140564736 + 1679616 = 11856^2 + 1296^2 .

It is not an unprimeable number, because it can be changed into a prime (142244353) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10827 + ... + 20042.

Almost surely, 2142244352 is an apocalyptic number.

142244352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142244352 is an abundant number, since it is smaller than the sum of its proper divisors (268295778).

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

142244352 is an equidigital number, since it uses as much as digits as its factorization.

142244352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30893 (or 30874 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 142244352 is about 11926.6236630490. The cubic root of 142244352 is about 522.0094242364.

Adding to 142244352 its reverse (253442241), we get a palindrome (395686593).

The spelling of 142244352 in words is "one hundred forty-two million, two hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 30869 61738 92607 123476 185214 246952 277821 370428 493904 555642 740856 987808 1111284 1481712 1975616 2222568 2963424 3951232 4445136 5926848 7902464 8890272 11853696 15804928 17780544 23707392 35561088 47414784 71122176 142244352