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80461888 = 261397997
BaseRepresentation
bin1001100101111…
…00000001000000
312121101212221221
410302330001000
5131044240023
611552324424
71664625523
oct462740100
9177355857
1080461888
1141467231
1222b43714
13138926b0
14a986bba
1570e585d
hex4cbc040

80461888 has 56 divisors (see below), whose sum is σ = 173895512. Its totient is φ = 36716544.

The previous prime is 80461879. The next prime is 80461933. The reversal of 80461888 is 88816408.

It can be written as a sum of positive squares in 4 ways, for example, as 10705984 + 69755904 = 3272^2 + 8352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80206 + ... + 81202.

It is an arithmetic number, because the mean of its divisors is an integer number (3105277).

Almost surely, 280461888 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 80461888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86947756).

80461888 is an abundant number, since it is smaller than the sum of its proper divisors (93433624).

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

80461888 is a wasteful number, since it uses less digits than its factorization.

80461888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The square root of 80461888 is about 8970.0550722947. The cubic root of 80461888 is about 431.7146034495.

The spelling of 80461888 in words is "eighty million, four hundred sixty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 194 208 388 416 776 832 997 1261 1552 1994 2522 3104 3988 5044 6208 7976 10088 12961 15952 20176 25922 31904 40352 51844 63808 80704 96709 103688 193418 207376 386836 414752 773672 829504 1257217 1547344 2514434 3094688 5028868 6189376 10057736 20115472 40230944 80461888