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75505125 = 3532953131
BaseRepresentation
bin1001000000000…
…01110111100101
312021002001120010
410200001313211
5123312131000
611254200433
71604532363
oct440016745
9167061503
1075505125
1139691133
1221353119
13128484b7
14a056633
156966d50
hex4801de5

75505125 has 64 divisors (see below), whose sum is σ = 133436160. Its totient is φ = 37856000.

The previous prime is 75505121. The next prime is 75505127. The reversal of 75505125 is 52150557.

It is not a de Polignac number, because 75505125 - 22 = 75505121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 75505092 and 75505101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75505121) 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 63 ways as a sum of consecutive naturals, for example, 576310 + ... + 576440.

It is an arithmetic number, because the mean of its divisors is an integer number (2084940).

Almost surely, 275505125 is an apocalyptic number.

75505125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75505125 is a deficient number, since it is larger than the sum of its proper divisors (57931035).

75505125 is a wasteful number, since it uses less digits than its factorization.

75505125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 30.

The square root of 75505125 is about 8689.3685040974. The cubic root of 75505125 is about 422.6609682740.

The spelling of 75505125 in words is "seventy-five million, five hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 29 53 75 87 125 131 145 159 265 375 393 435 655 725 795 1325 1537 1965 2175 3275 3625 3799 3975 4611 6625 6943 7685 9825 10875 11397 16375 18995 19875 20829 23055 34715 38425 49125 56985 94975 104145 115275 173575 192125 201347 284925 474875 520725 576375 604041 867875 1006735 1424625 2603625 3020205 5033675 15101025 25168375 75505125