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675567945 = 3651353269
BaseRepresentation
bin101000010001000…
…101100101001001
31202002012102000000
4220101011211021
52340421133240
6151011433213
722512142563
oct5021054511
91662172000
10675567945
11317382218
1216a2b5809
13a9c66860
1465a18333
153e498430
hex28445949

675567945 has 112 divisors (see below), whose sum is σ = 1338618960. Its totient is φ = 325099008.

The previous prime is 675567943. The next prime is 675567953. The reversal of 675567945 is 549765576.

675567945 is a `hidden beast` number, since 6 + 75 + 567 + 9 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 109746576 + 565821369 = 10476^2 + 23787^2 .

It is not a de Polignac number, because 675567945 - 21 = 675567943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 675567891 and 675567900.

It is not an unprimeable number, because it can be changed into a prime (675567943) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 2511271 + ... + 2511539.

It is an arithmetic number, because the mean of its divisors is an integer number (11951955).

Almost surely, 2675567945 is an apocalyptic number.

675567945 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

675567945 is a deficient number, since it is larger than the sum of its proper divisors (663051015).

675567945 is a wasteful number, since it uses less digits than its factorization.

675567945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The square root of 675567945 is about 25991.6899219731. The cubic root of 675567945 is about 877.4512793463.

The spelling of 675567945 in words is "six hundred seventy-five million, five hundred sixty-seven thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 53 65 81 117 135 159 195 243 265 269 351 405 477 585 689 729 795 807 1053 1215 1345 1431 1755 2067 2385 2421 3159 3445 3497 3645 4035 4293 5265 6201 7155 7263 9477 10335 10491 12105 12879 14257 15795 17485 18603 21465 21789 31005 31473 36315 38637 42771 47385 52455 55809 64395 65367 71285 93015 94419 108945 128313 157365 167427 185341 193185 196101 213855 279045 283257 326835 384939 472095 502281 556023 641565 837135 849771 926705 980505 1154817 1416285 1668069 1924695 2511405 2549313 2780115 3464451 4248855 5004207 5774085 8340345 10393353 12746565 15012621 17322255 25021035 45037863 51966765 75063105 135113589 225189315 675567945