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80333136 = 24321323301
BaseRepresentation
bin1001100100111…
…00100101010000
312121011100100100
410302130211100
5131031130021
611545452400
71663551252
oct462344520
9177140310
1080333136
1141389524
1222aa1100
1313848c00
14a951cd2
1570bc626
hex4c9c950

80333136 has 90 divisors (see below), whose sum is σ = 243519198. Its totient is φ = 24710400.

The previous prime is 80333119. The next prime is 80333137. The reversal of 80333136 is 63133308.

It can be written as a sum of positive squares in 3 ways, for example, as 1904400 + 78428736 = 1380^2 + 8856^2 .

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80333137) 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 17 ways as a sum of consecutive naturals, for example, 22686 + ... + 25986.

Almost surely, 280333136 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 80333136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121759599).

80333136 is an abundant number, since it is smaller than the sum of its proper divisors (163186062).

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

80333136 is a wasteful number, since it uses less digits than its factorization.

80333136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 80333136 is about 8962.8754314673. The cubic root of 80333136 is about 431.4842095150.

The spelling of 80333136 in words is "eighty million, three hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 3301 4056 6084 6602 8112 9903 12168 13204 19806 24336 26408 29709 39612 42913 52816 59418 79224 85826 118836 128739 158448 171652 237672 257478 343304 386217 475344 514956 557869 686608 772434 1029912 1115738 1544868 1673607 2059824 2231476 3089736 3347214 4462952 5020821 6179472 6694428 8925904 10041642 13388856 20083284 26777712 40166568 80333136