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54500985 = 3357311107
BaseRepresentation
bin1100111111100…
…1111001111001
310210112221022000
43033321321321
5102423012420
65224051213
71231152000
oct317717171
9123487260
1054500985
1128845440
1216303b09
13b3a3006
147349c37
154bb8690
hex33f9e79

54500985 has 128 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 22438080.

The previous prime is 54500959. The next prime is 54500993. The reversal of 54500985 is 58900545.

It is a happy number.

It is not a de Polignac number, because 54500985 - 26 = 54500921 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509302 + ... + 509408.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 254500985 is an apocalyptic number.

54500985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54500985 is an abundant number, since it is smaller than the sum of its proper divisors (69915015).

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

54500985 is a wasteful number, since it uses less digits than its factorization.

54500985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 54500985 is about 7382.4782424332. The cubic root of 54500985 is about 379.1416104416.

The spelling of 54500985 in words is "fifty-four million, five hundred thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 107 135 147 165 189 231 245 297 315 321 343 385 441 495 535 539 693 735 749 945 963 1029 1155 1177 1323 1485 1605 1617 1715 2079 2205 2247 2695 2889 3087 3465 3531 3745 3773 4815 4851 5145 5243 5885 6615 6741 8085 8239 9261 10395 10593 11235 11319 14445 14553 15435 15729 17655 18865 20223 24255 24717 26215 31779 33705 33957 36701 41195 46305 47187 52965 56595 57673 72765 74151 78645 101115 101871 110103 123585 141561 158895 169785 173019 183505 222453 235935 288365 330309 370755 403711 509355 519057 550515 707805 865095 990927 1112265 1211133 1557171 1651545 2018555 2595285 3633399 4954635 6055665 7785855 10900197 18166995 54500985