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125126442 = 23271079281
BaseRepresentation
bin1110111010101…
…00011100101010
322201110002012200
413131110130222
5224013021232
620225521030
73046362060
oct735243452
9281402180
10125126442
11646a3391
1235aa3176
131cc0041c
1412892030
15aeb977c
hex775472a

125126442 has 48 divisors (see below), whose sum is σ = 312766272. Its totient is φ = 35412480.

The previous prime is 125126437. The next prime is 125126459. The reversal of 125126442 is 244621521.

125126442 is a `hidden beast` number, since 1 + 2 + 5 + 12 + 644 + 2 = 666.

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, 8842 + ... + 18122.

It is an arithmetic number, because the mean of its divisors is an integer number (6515964).

Almost surely, 2125126442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125126442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156383136).

125126442 is an abundant number, since it is smaller than the sum of its proper divisors (187639830).

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

125126442 is a wasteful number, since it uses less digits than its factorization.

125126442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9403 (or 9400 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 125126442 is about 11185.9931163934. The cubic root of 125126442 is about 500.1685325205.

Adding to 125126442 its reverse (244621521), we get a palindrome (369747963).

The spelling of 125126442 in words is "one hundred twenty-five million, one hundred twenty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6741 9281 13482 18562 27843 55686 64967 83529 129934 167058 194901 389802 584703 993067 1169406 1986134 2979201 5958402 6951469 8937603 13902938 17875206 20854407 41708814 62563221 125126442