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80436768 = 2531097687
BaseRepresentation
bin1001100101101…
…01111000100000
312121100121111120
410302311320200
5131042434033
611552012240
71664462346
oct462657040
9177317446
1080436768
114144a375
1222b31080
1313884129
14a97b996
1570dd1b3
hex4cb5e20

80436768 has 48 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 26562816.

The previous prime is 80436757. The next prime is 80436781. The reversal of 80436768 is 86763408.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6621 + ... + 14307.

It is an arithmetic number, because the mean of its divisors is an integer number (4439820).

Almost surely, 280436768 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 80436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

80436768 is an abundant number, since it is smaller than the sum of its proper divisors (132674592).

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

80436768 is a wasteful number, since it uses less digits than its factorization.

80436768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7809 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 80436768 is about 8968.6547486231. The cubic root of 80436768 is about 431.6696720339.

The spelling of 80436768 in words is "eighty million, four hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 7687 10464 15374 23061 30748 46122 61496 92244 122992 184488 245984 368976 737952 837883 1675766 2513649 3351532 5027298 6703064 10054596 13406128 20109192 26812256 40218384 80436768