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73480880 = 2451127591
BaseRepresentation
bin1000110000100…
…11101010110000
312010021012211002
410120103222300
5122302342010
611142541132
71551401654
oct430235260
9163235732
1073480880
1138529300
12207377a8
13122ba015
149a8aa64
1566b71a5
hex4613ab0

73480880 has 60 divisors (see below), whose sum is σ = 187810896. Its totient is φ = 26716800.

The previous prime is 73480879. The next prime is 73480907. The reversal of 73480880 is 8808437.

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 11 ways as a sum of consecutive naturals, for example, 5885 + ... + 13475.

Almost surely, 273480880 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 73480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93905448).

73480880 is an abundant number, since it is smaller than the sum of its proper divisors (114330016).

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

73480880 is a wasteful number, since it uses less digits than its factorization.

73480880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 73480880 is about 8572.0989261674. The cubic root of 73480880 is about 418.8496108170.

The spelling of 73480880 in words is "seventy-three million, four hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 7591 9680 15182 30364 37955 60728 75910 83501 121456 151820 167002 303640 334004 417505 607280 668008 835010 918511 1336016 1670020 1837022 3340040 3674044 4592555 6680080 7348088 9185110 14696176 18370220 36740440 73480880