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8040800484 = 2232376036637
BaseRepresentation
bin1110111110100010…
…01110000011100100
3202202101011222122100
413133101032003210
5112431421103414
63405514132100
7403154451003
oct73721160344
922671158570
108040800484
113456905462
121684a21030
139b1b2a112
14563c88c3a
15320da9609
hex1df44e0e4

8040800484 has 36 divisors (see below), whose sum is σ = 20874694204. Its totient is φ = 2607826752.

The previous prime is 8040800479. The next prime is 8040800533. The reversal of 8040800484 is 4840080408.

It can be written as a sum of positive squares in 2 ways, for example, as 6717441600 + 1323358884 = 81960^2 + 36378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×80408004843 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3016987 + ... + 3019650.

Almost surely, 28040800484 is an apocalyptic number.

It is an amenable number.

8040800484 is an abundant number, since it is smaller than the sum of its proper divisors (12833893720).

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

8040800484 is a wasteful number, since it uses less digits than its factorization.

8040800484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036684 (or 6036679 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8040800484 is about 89670.5106710116. The cubic root of 8040800484 is about 2003.3942765180.

The spelling of 8040800484 in words is "eight billion, forty million, eight hundred thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 6036637 12073274 18109911 24146548 36219822 54329733 72439644 108659466 217318932 223355569 446711138 670066707 893422276 1340133414 2010200121 2680266828 4020400242 8040800484