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142244648 = 237213103271
BaseRepresentation
bin10000111101001…
…11101100101000
3100220122202222022
420132213230220
5242403312043
622040444012
73345026300
oct1036475450
9326582868
10142244648
1173325567
123b779608
1323614c40
1414c6a600
15c74b868
hex87a7b28

142244648 has 96 divisors (see below), whose sum is σ = 338607360. Its totient is φ = 55520640.

The previous prime is 142244587. The next prime is 142244651. The reversal of 142244648 is 846442241.

142244648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 142244648 = 203 + 5223 = 3813 + 4433.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524753 + ... + 525023.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 2142244648 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 142244648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

142244648 is an abundant number, since it is smaller than the sum of its proper divisors (196362712).

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

142244648 is a wasteful number, since it uses less digits than its factorization.

142244648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its digits is 49152, while the sum is 35.

The square root of 142244648 is about 11926.6360722544. The cubic root of 142244648 is about 522.0097863239.

Adding to 142244648 its reverse (846442241), we get a palindrome (988686889).

The spelling of 142244648 in words is "one hundred forty-two million, two hundred forty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 103 104 182 196 206 271 364 392 412 542 637 721 728 824 1084 1274 1339 1442 1897 2168 2548 2678 2884 3523 3794 5047 5096 5356 5768 7046 7588 9373 10094 10712 13279 14092 15176 18746 20188 24661 26558 27913 28184 37492 40376 49322 53116 55826 65611 74984 98644 106232 111652 131222 172627 195391 197288 223304 262444 345254 362869 390782 524888 690508 725738 781564 1367737 1381016 1451476 1563128 2540083 2735474 2902952 5080166 5470948 10160332 10941896 17780581 20320664 35561162 71122324 142244648