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55188945 = 37572103
BaseRepresentation
bin1101001010000…
…1110111010001
310211211220000000
43102201313101
5103112021240
65250520213
71240045500
oct322416721
9124756000
1055188945
11291752a9
1216596069
13b5841a6
147488837
154ca2430
hex34a1dd1

55188945 has 96 divisors (see below), whose sum is σ = 116663040. Its totient is φ = 24984288.

The previous prime is 55188923. The next prime is 55188967. The reversal of 55188945 is 54988155.

It is a happy number.

55188945 is a `hidden beast` number, since 551 + 8 + 8 + 94 + 5 = 666.

55188945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55188923) and next prime (55188967).

It is not a de Polignac number, because 55188945 - 29 = 55188433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 55188945.

It is an unprimeable number.

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, 535764 + ... + 535866.

It is an arithmetic number, because the mean of its divisors is an integer number (1215240).

Almost surely, 255188945 is an apocalyptic number.

It is an amenable number.

55188945 is an abundant number, since it is smaller than the sum of its proper divisors (61474095).

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

55188945 is an equidigital number, since it uses as much as digits as its factorization.

55188945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The square root of 55188945 is about 7428.9262346587. The cubic root of 55188945 is about 380.7302324967.

Subtracting from 55188945 its product of digits (288000), we obtain a palindrome (54900945).

The spelling of 55188945 in words is "fifty-five million, one hundred eighty-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 103 105 135 147 189 243 245 309 315 405 441 515 567 721 729 735 927 945 1215 1323 1545 1701 2163 2187 2205 2781 2835 3605 3645 3969 4635 5047 5103 6489 6615 8343 8505 10815 10935 11907 13905 15141 15309 19467 19845 25029 25235 25515 32445 35721 41715 45423 58401 59535 75087 75705 76545 97335 107163 125145 136269 175203 178605 225261 227115 292005 375435 408807 525609 535815 681345 876015 1126305 1226421 1576827 2044035 2628045 3679263 6132105 7884135 11037789 18396315 55188945