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125486352 = 24323172749
BaseRepresentation
bin1110111101011…
…00010100010000
322202010100220200
413132230110100
5224111030402
620241335200
73052421265
oct736542420
9282110820
10125486352
1164919832
1236037500
131ccc81a4
141294726c
15b03b21c
hex77ac510

125486352 has 60 divisors (see below), whose sum is σ = 352423500. Its totient is φ = 41681664.

The previous prime is 125486327. The next prime is 125486353. The reversal of 125486352 is 253684521.

125486352 is a `hidden beast` number, since 1 + 2 + 548 + 63 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 114832656 = 3264^2 + 10716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125486353) 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 11 ways as a sum of consecutive naturals, for example, 44274 + ... + 47022.

It is an arithmetic number, because the mean of its divisors is an integer number (5873725).

Almost surely, 2125486352 is an apocalyptic number.

125486352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125486352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176211750).

125486352 is an abundant number, since it is smaller than the sum of its proper divisors (226937148).

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

125486352 is a wasteful number, since it uses less digits than its factorization.

125486352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3071 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 125486352 is about 11202.0690945914. The cubic root of 125486352 is about 500.6476301216.

The spelling of 125486352 in words is "one hundred twenty-five million, four hundred eighty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317 634 951 1268 1902 2536 2749 2853 3804 5072 5498 5706 7608 8247 10996 11412 15216 16494 21992 22824 24741 32988 43984 45648 49482 65976 98964 131952 197928 395856 871433 1742866 2614299 3485732 5228598 6971464 7842897 10457196 13942928 15685794 20914392 31371588 41828784 62743176 125486352