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983988125 = 54292332
BaseRepresentation
bin111010101001100…
…111011110011101
32112120112202221122
4322221213132131
54003400110000
6241350140325
733245522021
oct7251473635
92476482848
10983988125
1146548792a
122356516a5
13128b220c3
1494980381
155b5bc085
hex3aa6779d

983988125 has 30 divisors (see below), whose sum is σ = 1277473890. Its totient is φ = 756784000.

The previous prime is 983988121. The next prime is 983988127. The reversal of 983988125 is 521889389.

983988125 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 15 ways, for example, as 946362169 + 37625956 = 30763^2 + 6134^2 .

It is not a de Polignac number, because 983988125 - 22 = 983988121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983988121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4223009 + ... + 4223241.

It is an arithmetic number, because the mean of its divisors is an integer number (42582463).

Almost surely, 2983988125 is an apocalyptic number.

It is an amenable number.

983988125 is a deficient number, since it is larger than the sum of its proper divisors (293485765).

983988125 is an frugal number, since it uses more digits than its factorization.

983988125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 267 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 53.

The square root of 983988125 is about 31368.5850015585. The cubic root of 983988125 is about 994.6339655110.

The spelling of 983988125 in words is "nine hundred eighty-three million, nine hundred eighty-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 29 125 145 233 625 725 1165 3625 5825 6757 18125 29125 33785 54289 145625 168925 271445 844625 1357225 1574381 4223125 6786125 7871905 33930625 39359525 196797625 983988125