Search a number
-
+
80636472 = 2334729613
BaseRepresentation
bin1001100111001…
…10101000111000
312121201202110000
410303212220320
5131120331342
612000153000
71666253520
oct463465070
9177652400
1080636472
1141576414
1223008760
1313923cb7
14a9d0680
15712c44c
hex4ce6a38

80636472 has 160 divisors (see below), whose sum is σ = 267458400. Its totient is φ = 22208256.

The previous prime is 80636467. The next prime is 80636477. The reversal of 80636472 is 27463608.

80636472 is a `hidden beast` number, since 8 + 0 + 6 + 3 + 647 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (80636467) and next prime (80636477).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80636477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131238 + ... + 131850.

It is an arithmetic number, because the mean of its divisors is an integer number (1671615).

Almost surely, 280636472 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 80636472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133729200).

80636472 is an abundant number, since it is smaller than the sum of its proper divisors (186821928).

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

80636472 is a wasteful number, since it uses less digits than its factorization.

80636472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 80636472 is about 8979.7812890961. The cubic root of 80636472 is about 432.0266187302.

It can be divided in two parts, 8063 and 6472, that added together give a triangular number (14535 = T170).

The spelling of 80636472 in words is "eighty million, six hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 613 648 696 756 783 812 1044 1134 1218 1226 1512 1566 1624 1827 1839 2088 2268 2349 2436 2452 3132 3654 3678 4291 4536 4698 4872 4904 5481 5517 6264 7308 7356 8582 9396 10962 11034 12873 14616 14712 16443 16551 17164 17777 18792 21924 22068 25746 32886 33102 34328 35554 38619 43848 44136 49653 51492 53331 65772 66204 71108 77238 99306 102984 106662 115857 124439 131544 132408 142216 154476 159993 198612 213324 231714 248878 308952 319986 347571 373317 397224 426648 463428 479979 497756 639972 695142 746634 926856 959958 995512 1119951 1279944 1390284 1439937 1493268 1919916 2239902 2780568 2879874 2986536 3359853 3839832 4479804 5759748 6719706 8959608 10079559 11519496 13439412 20159118 26878824 40318236 80636472