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52377325 = 52721113223
BaseRepresentation
bin1100011111001…
…1011011101101
310122120001011221
43013303123231
5101402033300
65110343341
71204125400
oct307633355
9118501157
1052377325
1127624950
121565ab51
13ab0b500
146d55d37
1548e931a
hex31f36ed

52377325 has 108 divisors (see below), whose sum is σ = 93127968. Its totient is φ = 28828800.

The previous prime is 52377313. The next prime is 52377329.

52377325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52377325 - 213 = 52369133 is a prime.

It is a Duffinian number.

Its product of digits (44100) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52377329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2277264 + ... + 2277286.

It is an arithmetic number, because the mean of its divisors is an integer number (862296).

Almost surely, 252377325 is an apocalyptic number.

52377325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52377325 is a deficient number, since it is larger than the sum of its proper divisors (40750643).

52377325 is a wasteful number, since it uses less digits than its factorization.

52377325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its digits is 44100, while the sum is 34.

The square root of 52377325 is about 7237.2180428670. The cubic root of 52377325 is about 374.1517419280.

The spelling of 52377325 in words is "fifty-two million, three hundred seventy-seven thousand, three hundred twenty-five".

Divisors: 1 5 7 11 13 23 25 35 49 55 65 77 91 115 143 161 169 175 245 253 275 299 325 385 455 539 575 637 715 805 845 1001 1127 1183 1225 1265 1495 1771 1859 1925 2093 2275 2695 3185 3289 3575 3887 4025 4225 5005 5635 5915 6325 7007 7475 8281 8855 9295 10465 12397 13013 13475 14651 15925 16445 19435 23023 25025 27209 28175 29575 35035 41405 42757 44275 46475 52325 61985 65065 73255 82225 91091 97175 115115 136045 161161 175175 190463 207025 213785 299299 309925 325325 366275 455455 575575 680225 805805 952315 1068925 1496495 2095093 2277275 4029025 4761575 7482475 10475465 52377325