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125454112 = 2572194211
BaseRepresentation
bin1110111101001…
…00011100100000
322202001201200121
413132210130200
5224104012422
620240530024
73052225300
oct736443440
9282051617
10125454112
11648a7593
1236020914
131ccb6604
1412939600
15b0318c7
hex77a4720

125454112 has 72 divisors (see below), whose sum is σ = 302505840. Its totient is φ = 50924160.

The previous prime is 125454097. The next prime is 125454149. The reversal of 125454112 is 211454521.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27687 + ... + 31897.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2125454112 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 125454112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151252920).

125454112 is an abundant number, since it is smaller than the sum of its proper divisors (177051728).

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

125454112 is a wasteful number, since it uses less digits than its factorization.

125454112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4239 counting only the distinct ones).

The product of its digits is 1600, while the sum is 25.

The square root of 125454112 is about 11200.6299822822. The cubic root of 125454112 is about 500.6047509244.

The spelling of 125454112 in words is "one hundred twenty-five million, four hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4211 4256 7448 8422 14896 16844 29477 29792 33688 58954 67376 80009 117908 134752 160018 206339 235816 320036 412678 471632 560063 640072 825356 943264 1120126 1280144 1650712 2240252 2560288 3301424 3920441 4480504 6602848 7840882 8961008 15681764 17922016 31363528 62727056 125454112