Search a number
-
+
81786804 = 223112233179
BaseRepresentation
bin1001101111111…
…11011110110100
312200220012101220
410313333132310
5131414134204
612040550340
72012114331
oct467773664
9180805356
1081786804
1142191700
12234823b0
1313c37778
14ac0d988
1572a81d9
hex4dff7b4

81786804 has 144 divisors (see below), whose sum is σ = 228802560. Its totient is φ = 22651200.

The previous prime is 81786799. The next prime is 81786821. The reversal of 81786804 is 40868718.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035237 + ... + 1035315.

Almost surely, 281786804 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 81786804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114401280).

81786804 is an abundant number, since it is smaller than the sum of its proper divisors (147015756).

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

81786804 is a wasteful number, since it uses less digits than its factorization.

81786804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 81786804 is about 9043.6056968446. The cubic root of 81786804 is about 434.0713071336.

It can be divided in two parts, 81 and 786804, that added together give a triangular number (786885 = T1254).

The spelling of 81786804 in words is "eighty-one million, seven hundred eighty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 79 92 93 121 124 132 138 158 186 237 242 253 276 316 341 363 372 474 484 506 682 713 726 759 869 948 1012 1023 1364 1426 1452 1518 1738 1817 2046 2139 2449 2607 2783 2852 3036 3476 3634 3751 4092 4278 4898 5214 5451 5566 7268 7347 7502 7843 8349 8556 9559 9796 10428 10902 11132 11253 14694 15004 15686 16698 19118 19987 21804 22506 23529 26939 28677 29388 31372 33396 38236 39974 45012 47058 53878 56327 57354 59961 79948 80817 86273 94116 107756 112654 114708 119922 161634 168981 172546 219857 225308 239844 258819 296329 323268 337962 345092 439714 517638 592658 619597 659571 675924 879428 888987 1035276 1185316 1239194 1319142 1777974 1858791 2478388 2638284 3555948 3717582 6815567 7435164 13631134 20446701 27262268 40893402 81786804