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75045126 = 231335693
BaseRepresentation
bin1000111100100…
…01100100000110
312020012200120010
410132101210012
5123202421001
611240251050
71600605312
oct436214406
9166180503
1075045126
11393a7572
1221170a86
1312717000
149d76b42
1568c58d6
hex4791906

75045126 has 32 divisors (see below), whose sum is σ = 162620640. Its totient is φ = 23086752.

The previous prime is 75045119. The next prime is 75045137. The reversal of 75045126 is 62154057.

It is a junction number, because it is equal to n+sod(n) for n = 75045093 and 75045102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10336 + ... + 16028.

It is an arithmetic number, because the mean of its divisors is an integer number (5081895).

Almost surely, 275045126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75045126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81310320).

75045126 is an abundant number, since it is smaller than the sum of its proper divisors (87575514).

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

75045126 is a wasteful number, since it uses less digits than its factorization.

75045126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 75045126 is about 8662.8589968901. The cubic root of 75045126 is about 421.8008951210.

The spelling of 75045126 in words is "seventy-five million, forty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2197 4394 5693 6591 11386 13182 17079 34158 74009 148018 222027 444054 962117 1924234 2886351 5772702 12507521 25015042 37522563 75045126