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125848116 = 22323495781
BaseRepresentation
bin1111000000001…
…00101000110100
322202210202011100
413200010220310
5224204114431
620253210100
73055456062
oct740045064
9282722140
10125848116
1165046609
1236190930
13200c3a54
14129dd032
15b0ad4e6
hex7804a34

125848116 has 18 divisors (see below), whose sum is σ = 318116162. Its totient is φ = 41949360.

The previous prime is 125848109. The next prime is 125848117. The reversal of 125848116 is 611848521.

It can be written as a sum of positive squares in only one way, i.e., 123876900 + 1971216 = 11130^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3495781 = 125848116 / (1 + 2 + 5 + 8 + 4 + 8 + 1 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125848117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1747855 + ... + 1747926.

Almost surely, 2125848116 is an apocalyptic number.

It is an amenable number.

125848116 is an abundant number, since it is smaller than the sum of its proper divisors (192268046).

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

125848116 is a wasteful number, since it uses less digits than its factorization.

125848116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495791 (or 3495786 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 125848116 is about 11218.2046691973. The cubic root of 125848116 is about 501.1282734165.

It can be divided in two parts, 125 and 848116, that added together give a square (848241 = 9212).

The spelling of 125848116 in words is "one hundred twenty-five million, eight hundred forty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3495781 6991562 10487343 13983124 20974686 31462029 41949372 62924058 125848116