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55350351 = 33721723107
BaseRepresentation
bin1101001100100…
…1010001001111
310212011002102000
43103021101033
5103132202401
65254203343
71241320200
oct323112117
9125132360
1055350351
11292755a1
1216653553
13b60c7b4
1474cb5a7
154cd5186
hex34c944f

55350351 has 96 divisors (see below), whose sum is σ = 106375680. Its totient is φ = 28207872.

The previous prime is 55350341. The next prime is 55350359. The reversal of 55350351 is 15305355.

55350351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55350351 - 27 = 55350223 is a prime.

It is a super-2 number, since 2×553503512 = 6127322711646402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55350359) 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 95 ways as a sum of consecutive naturals, for example, 517240 + ... + 517346.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 255350351 is an apocalyptic number.

55350351 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

55350351 is a deficient number, since it is larger than the sum of its proper divisors (51025329).

55350351 is a wasteful number, since it uses less digits than its factorization.

55350351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 55350351 is about 7439.7816500217. The cubic root of 55350351 is about 381.1010334078.

The spelling of 55350351 in words is "fifty-five million, three hundred fifty thousand, three hundred fifty-one".

Divisors: 1 3 7 9 17 21 23 27 49 51 63 69 107 119 147 153 161 189 207 321 357 391 441 459 483 621 749 833 963 1071 1127 1173 1323 1449 1819 2247 2461 2499 2737 2889 3213 3381 3519 4347 5243 5457 6741 7383 7497 8211 10143 10557 12733 15729 16371 17227 19159 20223 22149 22491 24633 30429 38199 41837 47187 49113 51681 57477 66447 73899 89131 114597 120589 125511 141561 155043 172431 267393 292859 343791 361767 376533 465129 517293 802179 878577 1085301 1129599 2050013 2406537 2635731 3255903 6150039 7907193 18450117 55350351