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75676112 = 2417614561
BaseRepresentation
bin1001000001010…
…11100111010000
312021101202002222
410200223213100
5123333113422
611302000212
71606144031
oct440534720
9167352088
1075676112
1139798646
1221416068
13128a8285
14a09ca88
15699c842
hex482b9d0

75676112 has 40 divisors (see below), whose sum is σ = 157826952. Its totient is φ = 35020800.

The previous prime is 75676099. The next prime is 75676147. The reversal of 75676112 is 21167657.

It can be written as a sum of positive squares in 4 ways, for example, as 1784896 + 73891216 = 1336^2 + 8596^2 .

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 7 ways as a sum of consecutive naturals, for example, 14312 + ... + 18872.

Almost surely, 275676112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75676112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78913476).

75676112 is an abundant number, since it is smaller than the sum of its proper divisors (82150840).

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

75676112 is a wasteful number, since it uses less digits than its factorization.

75676112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4641 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 75676112 is about 8699.2018024644. The cubic root of 75676112 is about 422.9797768594.

The spelling of 75676112 in words is "seventy-five million, six hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 2074 4148 4561 8296 9122 16592 18244 36488 72976 77537 155074 278221 310148 556442 620296 1112884 1240592 2225768 4451536 4729757 9459514 18919028 37838056 75676112