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55300245 = 357111329127
BaseRepresentation
bin1101001011110…
…1000010010101
310212001112200020
43102331002111
5103124101440
65253135353
71241021130
oct322750225
9125045606
1055300245
1129240990
121662a559
13b5c2a50
1474b7217
154cc53d0
hex34bd095

55300245 has 128 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 20321280.

The previous prime is 55300243. The next prime is 55300261. The reversal of 55300245 is 54200355.

55300245 = 282 + 292 + ... + 5492.

55300245 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 55300245 - 21 = 55300243 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55300243) 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 127 ways as a sum of consecutive naturals, for example, 435372 + ... + 435498.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 255300245 is an apocalyptic number.

55300245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55300245 is an abundant number, since it is smaller than the sum of its proper divisors (68562795).

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

55300245 is a wasteful number, since it uses less digits than its factorization.

55300245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195.

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 55300245 is about 7436.4134500443. The cubic root of 55300245 is about 380.9860012354.

The spelling of 55300245 in words is "fifty-five million, three hundred thousand, two hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 29 33 35 39 55 65 77 87 91 105 127 143 145 165 195 203 231 273 319 377 381 385 429 435 455 609 635 715 889 957 1001 1015 1131 1155 1365 1397 1595 1651 1885 1905 2145 2233 2639 2667 3003 3045 3683 4147 4191 4445 4785 4953 5005 5655 6699 6985 7917 8255 9779 11049 11165 11557 12441 13195 13335 15015 18161 18415 20735 20955 24765 25781 29029 29337 33495 34671 39585 40513 47879 48895 54483 55245 57785 62205 77343 87087 90805 121539 127127 128905 143637 145145 146685 173355 202565 239395 272415 283591 335153 381381 386715 435435 526669 607695 635635 718185 850773 1005459 1417955 1580007 1675765 1906905 2633345 3686683 4253865 5027295 7900035 11060049 18433415 55300245