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80442232 = 231317173263
BaseRepresentation
bin1001100101101…
…11001101111000
312121100212222221
410302313031320
5131043122412
611552053424
71664514313
oct462671570
9177325887
1080442232
1141453492
1222b34274
1313886770
14a97d97a
1570deb07
hex4cb7378

80442232 has 64 divisors (see below), whose sum is σ = 173638080. Its totient is φ = 34609152.

The previous prime is 80442227. The next prime is 80442233. The reversal of 80442232 is 23224408.

It is a super-3 number, since 3×804422323 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80442197 and 80442206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80442233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305733 + ... + 305995.

It is an arithmetic number, because the mean of its divisors is an integer number (2713095).

Almost surely, 280442232 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 80442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86819040).

80442232 is an abundant number, since it is smaller than the sum of its proper divisors (93195848).

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

80442232 is a wasteful number, since it uses less digits than its factorization.

80442232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 80442232 is about 8968.9593599258. The cubic root of 80442232 is about 431.6794461283.

The spelling of 80442232 in words is "eighty million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 173 221 263 346 442 526 692 884 1052 1384 1768 2104 2249 2941 3419 4471 4498 5882 6838 8942 8996 11764 13676 17884 17992 23528 27352 35768 38233 45499 58123 76466 90998 116246 152932 181996 232492 305864 363992 464984 591487 773483 1182974 1546966 2365948 3093932 4731896 6187864 10055279 20110558 40221116 80442232