Search a number
-
+
80914944 = 293114789
BaseRepresentation
bin1001101001010…
…10101000000000
312122020220102210
410310222220000
5131203234234
612010142120
72001523425
oct464525000
9178226383
1080914944
1141746660
1223121940
13139c0986
14aa63d4c
157184be9
hex4d2aa00

80914944 has 80 divisors (see below), whose sum is σ = 235208160. Its totient is φ = 24514560.

The previous prime is 80914919. The next prime is 80914979. The reversal of 80914944 is 44941908.

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, 14502 + ... + 19290.

It is an arithmetic number, because the mean of its divisors is an integer number (2940102).

Almost surely, 280914944 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 80914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117604080).

80914944 is an abundant number, since it is smaller than the sum of its proper divisors (154293216).

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

80914944 is a wasteful number, since it uses less digits than its factorization.

80914944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 80914944 is about 8995.2734255274. The cubic root of 80914944 is about 432.5233711629.

It can be divided in two parts, 809 and 14944, that added together give a triangular number (15753 = T177).

The spelling of 80914944 in words is "eighty million, nine hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 4789 5632 8448 9578 14367 16896 19156 28734 38312 52679 57468 76624 105358 114936 153248 158037 210716 229872 306496 316074 421432 459744 612992 632148 842864 919488 1225984 1264296 1685728 1838976 2451968 2528592 3371456 3677952 5057184 6742912 7355904 10114368 13485824 20228736 26971648 40457472 80914944