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80627076 = 2234298581
BaseRepresentation
bin1001100111001…
…00010110000100
312121201021120000
410303210112010
5131120031301
612000041300
71666214235
oct463442604
9177637500
1080627076
114156a352
1223003230
131391c93a
14a9cb08c
157129786
hex4ce4584

80627076 has 60 divisors (see below), whose sum is σ = 218068620. Its totient is φ = 25945920.

The previous prime is 80627069. The next prime is 80627077. The reversal of 80627076 is 67072608.

It can be written as a sum of positive squares in 2 ways, for example, as 12960000 + 67667076 = 3600^2 + 8226^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 80627076.

It is not an unprimeable number, because it can be changed into a prime (80627077) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5106 + ... + 13686.

It is an arithmetic number, because the mean of its divisors is an integer number (3634477).

Almost surely, 280627076 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 80627076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109034310).

80627076 is an abundant number, since it is smaller than the sum of its proper divisors (137441544).

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

80627076 is a wasteful number, since it uses less digits than its factorization.

80627076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 80627076 is about 8979.2580985291. The cubic root of 80627076 is about 432.0098377389.

The spelling of 80627076 in words is "eighty million, six hundred twenty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 8581 9396 17162 25743 34324 51486 77229 102972 154458 231687 248849 308916 463374 497698 695061 746547 926748 995396 1390122 1493094 2239641 2780244 2986188 4479282 6718923 8958564 13437846 20156769 26875692 40313538 80627076