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80590848 = 2113131009
BaseRepresentation
bin1001100110110…
…11100000000000
312121122102212020
410303123200000
5131112401343
611555201440
71666003512
oct463334000
9177572766
1080590848
1141545108
1222ba6280
13139092c0
14a9bbbb2
15711db83
hex4cdb800

80590848 has 96 divisors (see below), whose sum is σ = 231613200. Its totient is φ = 24772608.

The previous prime is 80590843. The next prime is 80590859. The reversal of 80590848 is 84809508.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80590843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79368 + ... + 80376.

Almost surely, 280590848 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 80590848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115806600).

80590848 is an abundant number, since it is smaller than the sum of its proper divisors (151022352).

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

80590848 is a wasteful number, since it uses less digits than its factorization.

80590848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 80590848 is about 8977.2405559838. The cubic root of 80590848 is about 431.9451233449.

The spelling of 80590848 in words is "eighty million, five hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1009 1024 1248 1536 1664 2018 2048 2496 3027 3072 3328 4036 4992 6054 6144 6656 8072 9984 12108 13117 13312 16144 19968 24216 26234 26624 32288 39351 39936 48432 52468 64576 78702 79872 96864 104936 129152 157404 193728 209872 258304 314808 387456 419744 516608 629616 774912 839488 1033216 1259232 1549824 1678976 2066432 2518464 3099648 3357952 5036928 6199296 6715904 10073856 13431808 20147712 26863616 40295424 80590848