Search a number
-
+
125848968 = 23372832647
BaseRepresentation
bin1111000000001…
…00110110001000
322202210210022220
413200010312020
5224204131333
620253214040
73055461420
oct740046610
9282723286
10125848968
1165047213
1236191320
13200c425b
14129dd480
15b0ad8b3
hex7804d88

125848968 has 64 divisors (see below), whose sum is σ = 360975360. Its totient is φ = 35816256.

The previous prime is 125848927. The next prime is 125848969. The reversal of 125848968 is 869848521.

It is a self number, because there is not a number n which added to its sum of digits gives 125848968.

It is not an unprimeable number, because it can be changed into a prime (125848969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46221 + ... + 48867.

It is an arithmetic number, because the mean of its divisors is an integer number (5640240).

Almost surely, 2125848968 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 125848968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180487680).

125848968 is an abundant number, since it is smaller than the sum of its proper divisors (235126392).

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

125848968 is a wasteful number, since it uses less digits than its factorization.

125848968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2942 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 125848968 is about 11218.2426431237. The cubic root of 125848968 is about 501.1294043043.

The spelling of 125848968 in words is "one hundred twenty-five million, eight hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 849 1132 1698 1981 2264 2647 3396 3962 5294 5943 6792 7924 7941 10588 11886 15848 15882 18529 21176 23772 31764 37058 47544 55587 63528 74116 111174 148232 222348 444696 749101 1498202 2247303 2996404 4494606 5243707 5992808 8989212 10487414 15731121 17978424 20974828 31462242 41949656 62924484 125848968