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80593152 = 2831011039
BaseRepresentation
bin1001100110111…
…00000100000000
312121122120000120
410303130010000
5131112440102
611555220240
71666013313
oct463340400
9177576016
1080593152
1141546912
1222ba7680
131390a373
14a9bc97a
15711e6bc
hex4cdc100

80593152 has 72 divisors (see below), whose sum is σ = 216827520. Its totient is φ = 26572800.

The previous prime is 80593151. The next prime is 80593159. The reversal of 80593152 is 25139508.

It is a super-2 number, since 2×805931522 = 12990512298590208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80593151) 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, 77049 + ... + 78087.

Almost surely, 280593152 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 80593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108413760).

80593152 is an abundant number, since it is smaller than the sum of its proper divisors (136234368).

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

80593152 is a wasteful number, since it uses less digits than its factorization.

80593152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 80593152 is about 8977.3688795771. The cubic root of 80593152 is about 431.9492395777.

It can be divided in two parts, 8059 and 3152, that added together give a palindrome (11211).

The spelling of 80593152 in words is "eighty million, five hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1039 1212 1616 2078 2424 3117 3232 4156 4848 6234 6464 8312 9696 12468 12928 16624 19392 24936 25856 33248 38784 49872 66496 77568 99744 104939 132992 199488 209878 265984 314817 398976 419756 629634 797952 839512 1259268 1679024 2518536 3358048 5037072 6716096 10074144 13432192 20148288 26864384 40296576 80593152