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125435232 = 25321333503
BaseRepresentation
bin1110111100111…
…11110101100000
322202000202210100
413132133311200
5224102411412
620240302400
73052116246
oct736376540
9282022710
10125435232
116489438a
1236011a00
131ccaab40
1412932796
15b02aedc
hex779fd60

125435232 has 72 divisors (see below), whose sum is σ = 384156864. Its totient is φ = 38594304.

The previous prime is 125435227. The next prime is 125435281. The reversal of 125435232 is 232534521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 125435196 and 125435205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13008 + ... + 20495.

It is an arithmetic number, because the mean of its divisors is an integer number (5335512).

Almost surely, 2125435232 is an apocalyptic number.

125435232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125435232 is an abundant number, since it is smaller than the sum of its proper divisors (258721632).

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

125435232 is a wasteful number, since it uses less digits than its factorization.

125435232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33532 (or 33521 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 125435232 is about 11199.7871408344. The cubic root of 125435232 is about 500.5796371153.

Adding to 125435232 its reverse (232534521), we get a palindrome (357969753).

The spelling of 125435232 in words is "one hundred twenty-five million, four hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 33503 67006 100509 134012 201018 268024 301527 402036 435539 536048 603054 804072 871078 1072096 1206108 1306617 1608144 1742156 2412216 2613234 3216288 3484312 3919851 4824432 5226468 6968624 7839702 9648864 10452936 13937248 15679404 20905872 31358808 41811744 62717616 125435232