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8705500480 = 26541663529
BaseRepresentation
bin10000001101110001…
…10110010101000000
3211110200221020121201
420012320312111000
5120312102003410
63555501030544
7425505350605
oct100670662500
924420836551
108705500480
1137680343a6
12182b555454
13a8975a021
145c82746ac
1535e40783a
hex206e36540

8705500480 has 56 divisors (see below), whose sum is σ = 21235614120. Its totient is φ = 3397263360.

The previous prime is 8705500469. The next prime is 8705500591. The reversal of 8705500480 is 840055078.

It can be written as a sum of positive squares in 4 ways, for example, as 575232256 + 8130268224 = 23984^2 + 90168^2 .

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 7 ways as a sum of consecutive naturals, for example, 318645 + ... + 344884.

It is an arithmetic number, because the mean of its divisors is an integer number (379207395).

Almost surely, 28705500480 is an apocalyptic number.

8705500480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8705500480 is an abundant number, since it is smaller than the sum of its proper divisors (12530113640).

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

8705500480 is a wasteful number, since it uses less digits than its factorization.

8705500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663587 (or 663577 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 8705500480 is about 93303.2715396411. The cubic root of 8705500480 is about 2057.1434690621.

The spelling of 8705500480 in words is "eight billion, seven hundred five million, five hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 663529 1327058 2654116 3317645 5308232 6635290 10616464 13270580 21232928 26541160 27204689 42465856 53082320 54409378 106164640 108818756 136023445 212329280 217637512 272046890 435275024 544093780 870550048 1088187560 1741100096 2176375120 4352750240 8705500480