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73328976 = 2434759137
BaseRepresentation
bin1000101111011…
…10100101010000
312002222111110000
410113232211100
5122233011401
611135410000
71550200050
oct427564520
9162874400
1073328976
1138435166
1220683900
1312265b36
149a4b560
156687186
hex45ee950

73328976 has 200 divisors, whose sum is σ = 248466240. Its totient is φ = 20445696.

The previous prime is 73328947. The next prime is 73328989. The reversal of 73328976 is 67982337.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 535180 + ... + 535316.

Almost surely, 273328976 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 73328976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124233120).

73328976 is an abundant number, since it is smaller than the sum of its proper divisors (175137264).

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

73328976 is a wasteful number, since it uses less digits than its factorization.

73328976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 73328976 is about 8563.2339685425. The cubic root of 73328976 is about 418.5607881792.

The spelling of 73328976 in words is "seventy-three million, three hundred twenty-eight thousand, nine hundred seventy-six".