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55704825 = 32521171317
BaseRepresentation
bin1101010001111…
…1110011111001
310212211002122200
43110133303321
5103230023300
65305540413
71244324511
oct324376371
9125732580
1055704825
1129497950
12167a4709
13b704c47
147580841
154d55200
hex351fcf9

55704825 has 72 divisors (see below), whose sum is σ = 110725056. Its totient is φ = 26544000.

The previous prime is 55704787. The next prime is 55704829. The reversal of 55704825 is 52840755.

It is a happy number.

55704825 is a `hidden beast` number, since 5 + 570 + 4 + 82 + 5 = 666.

It is not a de Polignac number, because 55704825 - 213 = 55696633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 55704825.

It is not an unprimeable number, because it can be changed into a prime (55704829) 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 71 ways as a sum of consecutive naturals, for example, 175567 + ... + 175883.

It is an arithmetic number, because the mean of its divisors is an integer number (1537848).

Almost surely, 255704825 is an apocalyptic number.

55704825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55704825 is a deficient number, since it is larger than the sum of its proper divisors (55020231).

55704825 is a wasteful number, since it uses less digits than its factorization.

55704825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 55704825 is about 7463.5665067044. The cubic root of 55704825 is about 381.9128502890.

The spelling of 55704825 in words is "fifty-five million, seven hundred four thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 71 75 99 165 213 225 275 317 355 495 639 781 825 951 1065 1585 1775 2343 2475 2853 3195 3487 3905 4755 5325 7029 7925 10461 11715 14265 15975 17435 19525 22507 23775 31383 35145 52305 58575 67521 71325 87175 112535 156915 175725 202563 247577 261525 337605 562675 742731 784575 1012815 1237885 1688025 2228193 3713655 5064075 6189425 11140965 18568275 55704825