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55013985 = 3951343
BaseRepresentation
bin1101000111011…
…1001001100001
310211112000000000
43101313021201
5103040421420
65243050213
71235416425
oct321671141
9124460000
1055013985
1129065904
1216510969
13b522670
147440b85
154c6a690
hex3477261

55013985 has 80 divisors (see below), whose sum is σ = 109120704. Its totient is φ = 26453952.

The previous prime is 55013983. The next prime is 55014049. The reversal of 55013985 is 58931055.

It is a happy number.

55013985 is a `hidden beast` number, since 550 + 13 + 98 + 5 = 666.

55013985 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 55013985 - 21 = 55013983 is a prime.

It is a super-3 number, since 3×550139853 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55013983) 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 79 ways as a sum of consecutive naturals, for example, 1279374 + ... + 1279416.

Almost surely, 255013985 is an apocalyptic number.

It is an amenable number.

55013985 is a deficient number, since it is larger than the sum of its proper divisors (54106719).

55013985 is an frugal number, since it uses more digits than its factorization.

55013985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 55013985 is about 7417.1412956745. The cubic root of 55013985 is about 380.3274762477.

It can be divided in two parts, 550 and 13985, that added together give a triangular number (14535 = T170).

The spelling of 55013985 in words is "fifty-five million, thirteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 43 45 65 81 117 129 135 195 215 243 351 387 405 559 585 645 729 1053 1161 1215 1677 1755 1935 2187 2795 3159 3483 3645 5031 5265 5805 6561 8385 9477 10449 10935 15093 15795 17415 19683 25155 28431 31347 32805 45279 47385 52245 75465 85293 94041 98415 135837 142155 156735 226395 255879 282123 407511 426465 470205 679185 846369 1222533 1279395 1410615 2037555 3667599 4231845 6112665 11002797 18337995 55013985