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55575261 = 337317353
BaseRepresentation
bin1101010000000…
…0001011011101
310212120111221000
43110000023131
5103211402021
65303100513
71243245000
oct324001335
9125514830
1055575261
1129409575
1216741739
13b68ac91
147549537
154d2bb26
hex35002dd

55575261 has 64 divisors (see below), whose sum is σ = 101952000. Its totient is φ = 29804544.

The previous prime is 55575259. The next prime is 55575287. The reversal of 55575261 is 16257555.

It is a happy number.

It is not a de Polignac number, because 55575261 - 21 = 55575259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55575211) 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 63 ways as a sum of consecutive naturals, for example, 157261 + ... + 157613.

It is an arithmetic number, because the mean of its divisors is an integer number (1593000).

Almost surely, 255575261 is an apocalyptic number.

55575261 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

55575261 is a deficient number, since it is larger than the sum of its proper divisors (46376739).

55575261 is a wasteful number, since it uses less digits than its factorization.

55575261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its digits is 52500, while the sum is 36.

The square root of 55575261 is about 7454.8816892020. The cubic root of 55575261 is about 381.6165230573.

The spelling of 55575261 in words is "fifty-five million, five hundred seventy-five thousand, two hundred sixty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 343 353 357 441 459 833 1029 1059 1071 1323 2471 2499 3087 3177 3213 5831 6001 7413 7497 9261 9531 17297 17493 18003 22239 22491 42007 51891 52479 54009 66717 121079 126021 155673 157437 162027 294049 363237 378063 467019 882147 1089711 1134189 2058343 2646441 3269133 6175029 7939323 18525087 55575261