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80073937 = 532416269
BaseRepresentation
bin1001100010111…
…01010011010001
312120200011210101
410301131103101
5130444331222
611540132401
71661421466
oct461352321
9176604711
1080073937
1141221809
1222997101
1313787c38
14a8c566d
15706a927
hex4c5d4d1

80073937 has 8 divisors (see below), whose sum is σ = 81936360. Its totient is φ = 78224640.

The previous prime is 80073887. The next prime is 80073949. The reversal of 80073937 is 73937008.

It can be written as a sum of positive squares in 4 ways, for example, as 21566736 + 58507201 = 4644^2 + 7649^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 80073937 - 211 = 80071889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 80073896 and 80073905.

It is not an unprimeable number, because it can be changed into a prime (80073977) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9639 + ... + 15907.

It is an arithmetic number, because the mean of its divisors is an integer number (10242045).

Almost surely, 280073937 is an apocalyptic number.

It is an amenable number.

80073937 is a deficient number, since it is larger than the sum of its proper divisors (1862423).

80073937 is a wasteful number, since it uses less digits than its factorization.

80073937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 80073937 is about 8948.4041594018. The cubic root of 80073937 is about 431.0196408310.

The spelling of 80073937 in words is "eighty million, seventy-three thousand, nine hundred thirty-seven".

Divisors: 1 53 241 6269 12773 332257 1510829 80073937