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4007325 = 352717449
BaseRepresentation
bin1111010010010110011101
321112121000110
433102112131
52011213300
6221520233
746030110
oct17222635
97477013
104007325
112297843
121413079
13aa3cca
14764577
15542550
hex3d259d

4007325 has 48 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 1720320.

The previous prime is 4007321. The next prime is 4007351. The reversal of 4007325 is 5237004.

It is a happy number.

It is not a de Polignac number, because 4007325 - 22 = 4007321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

4007325 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007321) 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 47 ways as a sum of consecutive naturals, for example, 8701 + ... + 9149.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 24007325 is an apocalyptic number.

It is an amenable number.

4007325 is an abundant number, since it is smaller than the sum of its proper divisors (4027875).

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

4007325 is a wasteful number, since it uses less digits than its factorization.

4007325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 4007325 is about 2001.8304123976. The cubic root of 4007325 is about 158.8369437149.

The spelling of 4007325 in words is "four million, seven thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 449 525 595 1275 1347 1785 2245 2975 3143 6735 7633 8925 9429 11225 15715 22899 33675 38165 47145 53431 78575 114495 160293 190825 235725 267155 572475 801465 1335775 4007325