Search a number
-
+
81046784 = 28731371
BaseRepresentation
bin1001101010010…
…10110100000000
312122111121021202
410311022310000
5131221444114
612013040332
72002613000
oct465126400
9178447252
1081046784
1141826715
12231860a8
1313a389a0
14aa9a000
1571adcde
hex4d4ad00

81046784 has 144 divisors (see below), whose sum is σ = 206035200. Its totient is φ = 31610880.

The previous prime is 81046783. The next prime is 81046843. The reversal of 81046784 is 48764018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81046781) 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, 1141469 + ... + 1141539.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 281046784 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 81046784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103017600).

81046784 is an abundant number, since it is smaller than the sum of its proper divisors (124988416).

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

81046784 is an equidigital number, since it uses as much as digits as its factorization.

81046784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 81046784 is about 9002.5987359206. The cubic root of 81046784 is about 432.7581565459.

The spelling of 81046784 in words is "eighty-one million, forty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 71 91 98 104 112 128 142 182 196 208 224 256 284 343 364 392 416 448 497 568 637 686 728 784 832 896 923 994 1136 1274 1372 1456 1568 1664 1792 1846 1988 2272 2548 2744 2912 3136 3328 3479 3692 3976 4459 4544 5096 5488 5824 6272 6461 6958 7384 7952 8918 9088 10192 10976 11648 12544 12922 13916 14768 15904 17836 18176 20384 21952 23296 24353 25844 27832 29536 31808 35672 40768 43904 45227 48706 51688 55664 59072 63616 71344 81536 87808 90454 97412 103376 111328 118144 127232 142688 163072 180908 194824 206752 222656 236288 285376 316589 361816 389648 413504 445312 570752 633178 723632 779296 827008 890624 1141504 1266356 1447264 1558592 1654016 2532712 2894528 3117184 5065424 5789056 6234368 10130848 11578112 20261696 40523392 81046784