Search a number
-
+
80552368 = 2413537307
BaseRepresentation
bin1001100110100…
…10000110110000
312121120111002001
410303102012300
5131110133433
611554303344
71665453361
oct463220660
9177514061
1080552368
1141519206
1222b87b54
13138c4930
14a9abb68
15711257d
hex4cd21b0

80552368 has 40 divisors (see below), whose sum is σ = 171270288. Its totient is φ = 36471552.

The previous prime is 80552359. The next prime is 80552383. The reversal of 80552368 is 86325508.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7371 + ... + 14677.

Almost surely, 280552368 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 80552368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85635144).

80552368 is an abundant number, since it is smaller than the sum of its proper divisors (90717920).

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

80552368 is a wasteful number, since it uses less digits than its factorization.

80552368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7375 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 80552368 is about 8975.0971025388. The cubic root of 80552368 is about 431.8763649401.

The spelling of 80552368 in words is "eighty million, five hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 5512 7307 11024 14614 29228 58456 94991 116912 189982 379964 387271 759928 774542 1519856 1549084 3098168 5034523 6196336 10069046 20138092 40276184 80552368