Search a number
-
+
142048404 = 22342631667
BaseRepresentation
bin10000111011101…
…11110010010100
3100220021210210000
420131313302110
5242331022104
622032331300
73343251201
oct1035676224
9326253700
10142048404
1173201083
123b6a3b30
1323576814
1414c18ca8
15c70d639
hex8777c94

142048404 has 60 divisors (see below), whose sum is σ = 372978144. Its totient is φ = 47141136.

The previous prime is 142048381. The next prime is 142048411. The reversal of 142048404 is 404840241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84379 + ... + 86045.

Almost surely, 2142048404 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 142048404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186489072).

142048404 is an abundant number, since it is smaller than the sum of its proper divisors (230929740).

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

142048404 is a wasteful number, since it uses less digits than its factorization.

142048404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 142048404 is about 11918.4061014886. The cubic root of 142048404 is about 521.7696169251.

Adding to 142048404 its reverse (404840241), we get a palindrome (546888645).

The spelling of 142048404 in words is "one hundred forty-two million, forty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 263 324 526 789 1052 1578 1667 2367 3156 3334 4734 5001 6668 7101 9468 10002 14202 15003 20004 21303 28404 30006 42606 45009 60012 85212 90018 135027 180036 270054 438421 540108 876842 1315263 1753684 2630526 3945789 5261052 7891578 11837367 15783156 23674734 35512101 47349468 71024202 142048404