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80554656 = 2537139221
BaseRepresentation
bin1001100110100…
…10101010100000
312121120121012210
410303102222200
5131110222111
611554322120
71665463140
oct463225240
9177517183
1080554656
114151a9a6
1222b89340
13138c59a0
14a9ac920
1571130a6
hex4cd2aa0

80554656 has 96 divisors (see below), whose sum is σ = 260281728. Its totient is φ = 21242880.

The previous prime is 80554631. The next prime is 80554657. The reversal of 80554656 is 65645508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80554657) 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 15 ways as a sum of consecutive naturals, for example, 4126 + ... + 13346.

It is an arithmetic number, because the mean of its divisors is an integer number (2711268).

Almost surely, 280554656 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 80554656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130140864).

80554656 is an abundant number, since it is smaller than the sum of its proper divisors (179727072).

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

80554656 is a wasteful number, since it uses less digits than its factorization.

80554656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9254 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 80554656 is about 8975.2245654357. The cubic root of 80554656 is about 431.8804538899.

The spelling of 80554656 in words is "eighty million, five hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 9221 18442 27663 36884 55326 64547 73768 110652 119873 129094 147536 193641 221304 239746 258188 295072 359619 387282 442608 479492 516376 719238 774564 839111 885216 958984 1032752 1438476 1549128 1678222 1917968 2065504 2517333 2876952 3098256 3356444 3835936 5034666 5753904 6196512 6712888 10069332 11507808 13425776 20138664 26851552 40277328 80554656