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80006355 = 325111312433
BaseRepresentation
bin1001100010011…
…00110011010011
312120112202002100
410301030303103
5130440200410
611534451443
71661020452
oct461146323
9176482070
1080006355
1141185a60
1222963b83
1313763250
14a8a8b99
1570558c0
hex4c4ccd3

80006355 has 48 divisors (see below), whose sum is σ = 162935136. Its totient is φ = 35804160.

The previous prime is 80006291. The next prime is 80006363. The reversal of 80006355 is 55360008.

It is not a de Polignac number, because 80006355 - 26 = 80006291 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 219 + ... + 12651.

It is an arithmetic number, because the mean of its divisors is an integer number (3394482).

Almost surely, 280006355 is an apocalyptic number.

80006355 is an abundant number, since it is smaller than the sum of its proper divisors (82928781).

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

80006355 is a wasteful number, since it uses less digits than its factorization.

80006355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468 (or 12465 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 80006355 is about 8944.6271582442. The cubic root of 80006355 is about 430.8983472313.

The spelling of 80006355 in words is "eighty million, six thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 12433 37299 62165 111897 136763 161629 186495 410289 484887 559485 683815 808145 1230867 1454661 1777919 2051445 2424435 5333757 6154335 7273305 8889595 16001271 26668785 80006355