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75550125 = 3537171693
BaseRepresentation
bin1001000000011…
…00110110101101
312021011100021210
410200030312231
5123320101000
611255145033
71605110520
oct440146655
9167140253
1075550125
1139711a22
1221375179
1312862b21
14a068bb7
156975350
hex480cdad

75550125 has 64 divisors (see below), whose sum is σ = 152216064. Its totient is φ = 32486400.

The previous prime is 75550117. The next prime is 75550129. The reversal of 75550125 is 52105557.

It is not a de Polignac number, because 75550125 - 23 = 75550117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 75550092 and 75550101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75550129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43779 + ... + 45471.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 275550125 is an apocalyptic number.

75550125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75550125 is an abundant number, since it is smaller than the sum of its proper divisors (76665939).

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

75550125 is a wasteful number, since it uses less digits than its factorization.

75550125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1725 counting only the distinct ones).

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

The square root of 75550125 is about 8691.9574895417. The cubic root of 75550125 is about 422.7449182767.

The spelling of 75550125 in words is "seventy-five million, five hundred fifty thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 125 175 255 357 375 425 525 595 875 1275 1693 1785 2125 2625 2975 5079 6375 8465 8925 11851 14875 25395 28781 35553 42325 44625 59255 86343 126975 143905 177765 201467 211625 296275 431715 604401 634875 719525 888825 1007335 1481375 2158575 3022005 3597625 4444125 5036675 10792875 15110025 25183375 75550125