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55777425 = 35211174197
BaseRepresentation
bin1101010011000…
…1100010010001
310212221210020120
43110301202101
5103234334200
65311300453
71245046254
oct324614221
9125853216
1055777425
1129537450
121681a729
13b72bcc2
14759d09b
154d6b9a0
hex3531891

55777425 has 96 divisors (see below), whose sum is σ = 110242944. Its totient is φ = 24576000.

The previous prime is 55777409. The next prime is 55777451. The reversal of 55777425 is 52477755.

It is not a de Polignac number, because 55777425 - 24 = 55777409 is a prime.

It is a super-2 number, since 2×557774252 = 6222242279261250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 574977 + ... + 575073.

It is an arithmetic number, because the mean of its divisors is an integer number (1148364).

Almost surely, 255777425 is an apocalyptic number.

55777425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55777425 is a deficient number, since it is larger than the sum of its proper divisors (54465519).

55777425 is a wasteful number, since it uses less digits than its factorization.

55777425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its digits is 343000, while the sum is 42.

The square root of 55777425 is about 7468.4285495678. The cubic root of 55777425 is about 382.0786937097.

It can be divided in two parts, 5577 and 7425, that multiplied together give a square (41409225 = 64352).

The spelling of 55777425 in words is "fifty-five million, seven hundred seventy-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 41 51 55 75 85 97 123 165 187 205 255 275 291 425 451 485 561 615 697 825 935 1025 1067 1275 1353 1455 1649 2091 2255 2425 2805 3075 3201 3485 3977 4675 4947 5335 6765 7275 7667 8245 10455 11275 11931 14025 16005 17425 18139 19885 23001 24735 26675 33825 38335 41225 43747 52275 54417 59655 67609 80025 90695 99425 115005 123675 131241 191675 202827 218735 272085 298275 338045 453475 575025 656205 743699 1014135 1093675 1360425 1690225 2231097 3281025 3718495 5070675 11155485 18592475 55777425