Search a number
-
+
125352208 = 2423536427
BaseRepresentation
bin1110111100010…
…11100100010000
322201212112220101
413132023210100
5224042232313
620234422144
73051322222
oct736134420
9281775811
10125352208
1164837a73
1235b91954
131cc7c107
1412910412
15b0115dd
hex778b910

125352208 has 40 divisors (see below), whose sum is σ = 258251328. Its totient is φ = 58810752.

The previous prime is 125352193. The next prime is 125352209. The reversal of 125352208 is 802253521.

It is not an unprimeable number, because it can be changed into a prime (125352209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16291 + ... + 22717.

Almost surely, 2125352208 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 125352208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129125664).

125352208 is an abundant number, since it is smaller than the sum of its proper divisors (132899120).

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

125352208 is a wasteful number, since it uses less digits than its factorization.

125352208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6511 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 125352208 is about 11196.0800282956. The cubic root of 125352208 is about 500.4691702875.

The spelling of 125352208 in words is "one hundred twenty-five million, three hundred fifty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 368 424 848 1219 2438 4876 6427 9752 12854 19504 25708 51416 102832 147821 295642 340631 591284 681262 1182568 1362524 2365136 2725048 5450096 7834513 15669026 31338052 62676104 125352208