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3772125 = 32537479
BaseRepresentation
bin1110011000111011011101
321002122101100
432120323131
51431202000
6212503313
744030310
oct16307335
97078340
103772125
112147065
12131ab39
13a20c36
14702977
154e7a00
hex398edd

3772125 has 48 divisors (see below), whose sum is σ = 7787520. Its totient is φ = 1720800.

The previous prime is 3772121. The next prime is 3772141. The reversal of 3772125 is 5212773.

It is not a de Polignac number, because 3772125 - 22 = 3772121 is a prime.

3772125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3772121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7636 + ... + 8114.

It is an arithmetic number, because the mean of its divisors is an integer number (162240).

Almost surely, 23772125 is an apocalyptic number.

3772125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3772125 is an abundant number, since it is smaller than the sum of its proper divisors (4015395).

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

3772125 is a wasteful number, since it uses less digits than its factorization.

3772125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 3772125 is about 1942.1959221459. The cubic root of 3772125 is about 155.6665708851. Note that the first 3 decimals are identical.

Adding to 3772125 its reverse (5212773), we get a palindrome (8984898).

The spelling of 3772125 in words is "three million, seven hundred seventy-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 479 525 875 1125 1437 1575 2395 2625 3353 4311 7185 7875 10059 11975 16765 21555 30177 35925 50295 59875 83825 107775 150885 179625 251475 419125 538875 754425 1257375 3772125