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75196672 = 28833539
BaseRepresentation
bin1000111101101…
…10100100000000
312020111101102221
410132312210000
5123222243142
611243420424
71602106165
oct436664400
9166441387
1075196672
11394a0411
1221224714
131276ac95
149db606c
156905767
hex47b6900

75196672 has 36 divisors (see below), whose sum is σ = 151950960. Its totient is φ = 37134848.

The previous prime is 75196657. The next prime is 75196741. The reversal of 75196672 is 27669157.

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 3 ways as a sum of consecutive naturals, for example, 19479 + ... + 23017.

It is an arithmetic number, because the mean of its divisors is an integer number (4220860).

Almost surely, 275196672 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 75196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75975480).

75196672 is an abundant number, since it is smaller than the sum of its proper divisors (76754288).

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

75196672 is an equidigital number, since it uses as much as digits as its factorization.

75196672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3624 counting only the distinct ones).

The product of its digits is 158760, while the sum is 43.

The square root of 75196672 is about 8671.6014668572. The cubic root of 75196672 is about 422.0846322176.

The spelling of 75196672 in words is "seventy-five million, one hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 664 1328 2656 3539 5312 7078 10624 14156 21248 28312 56624 113248 226496 293737 452992 587474 905984 1174948 2349896 4699792 9399584 18799168 37598336 75196672