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3125538 = 2321319237
BaseRepresentation
bin1011111011000100100010
312212210102200
423323010202
51300004123
6150554030
735365233
oct13730442
95783380
103125538
111845299
121068916
13855840
145b508a
1541b143
hex2fb122

3125538 has 72 divisors (see below), whose sum is σ = 7904988. Its totient is φ = 886464.

The previous prime is 3125537. The next prime is 3125561. The reversal of 3125538 is 8355213.

3125538 is a `hidden beast` number, since 3 + 125 + 538 = 666.

3125538 is digitally balanced in base 2, 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 2 ways, for example, as 3122289 + 3249 = 1767^2 + 57^2 .

It is not an unprimeable number, because it can be changed into a prime (3125537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84456 + ... + 84492.

Almost surely, 23125538 is an apocalyptic number.

3125538 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952494).

3125538 is an abundant number, since it is smaller than the sum of its proper divisors (4779450).

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

3125538 is a wasteful number, since it uses less digits than its factorization.

3125538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 3125538 is about 1767.9191157969. The cubic root of 3125538 is about 146.2092764108.

It can be divided in two parts, 3125 and 538, that added together give a palindrome (3663).

The spelling of 3125538 in words is "three million, one hundred twenty-five thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 37 38 39 57 74 78 111 114 117 171 222 234 247 333 342 361 481 494 666 703 722 741 962 1083 1406 1443 1482 2109 2166 2223 2886 3249 4218 4329 4446 4693 6327 6498 8658 9139 9386 12654 13357 14079 18278 26714 27417 28158 40071 42237 54834 80142 82251 84474 120213 164502 173641 240426 347282 520923 1041846 1562769 3125538