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125522016 = 2531776913
BaseRepresentation
bin1110111101101…
…01000001100000
322202012011211120
413132311001200
5224113201031
620242212240
73052630254
oct736650140
9282164746
10125522016
1164943604
1236054080
132000b4a9
1412956264
15b046a96
hex77b5060

125522016 has 48 divisors (see below), whose sum is σ = 348881904. Its totient is φ = 39378944.

The previous prime is 125521997. The next prime is 125522027. The reversal of 125522016 is 610225521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36825 + ... + 40088.

It is an arithmetic number, because the mean of its divisors is an integer number (7268373).

Almost surely, 2125522016 is an apocalyptic number.

125522016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125522016 is an abundant number, since it is smaller than the sum of its proper divisors (223359888).

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

125522016 is a wasteful number, since it uses less digits than its factorization.

125522016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76943 (or 76935 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 125522016 is about 11203.6608302822. The cubic root of 125522016 is about 500.6950546836.

Adding to 125522016 its reverse (610225521), we get a palindrome (735747537).

The spelling of 125522016 in words is "one hundred twenty-five million, five hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 76913 153826 230739 307652 461478 615304 922956 1230608 1307521 1845912 2461216 2615042 3691824 3922563 5230084 7383648 7845126 10460168 15690252 20920336 31380504 41840672 62761008 125522016