Search a number
-
+
84763404 = 22321132961
BaseRepresentation
bin1010000110101…
…10001100001100
312220111102112100
411003112030030
5133144412104
612224435100
72046322425
oct503261414
9186442470
1084763404
1143935000
1224478a90
131473a57b
14b38664c
157695139
hex50d630c

84763404 has 144 divisors (see below), whose sum is σ = 247796640. Its totient is φ = 24393600.

The previous prime is 84763403. The next prime is 84763417. The reversal of 84763404 is 40436748.

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

It is not an unprimeable number, because it can be changed into a prime (84763403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389534 + ... + 1389594.

It is an arithmetic number, because the mean of its divisors is an integer number (1720810).

Almost surely, 284763404 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 84763404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123898320).

84763404 is an abundant number, since it is smaller than the sum of its proper divisors (163033236).

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

84763404 is a wasteful number, since it uses less digits than its factorization.

84763404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 84763404 is about 9206.7042963267. The cubic root of 84763404 is about 439.2746381956.

The spelling of 84763404 in words is "eighty-four million, seven hundred sixty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 61 66 87 99 116 121 122 132 174 183 198 242 244 261 319 348 363 366 396 484 522 549 638 671 726 732 957 1044 1089 1098 1276 1331 1342 1452 1769 1914 2013 2178 2196 2662 2684 2871 3509 3538 3828 3993 4026 4356 5307 5324 5742 6039 7018 7076 7381 7986 8052 10527 10614 11484 11979 12078 14036 14762 15921 15972 19459 21054 21228 22143 23958 24156 29524 31581 31842 38599 38918 42108 44286 47916 58377 63162 63684 66429 77198 77836 81191 88572 115797 116754 126324 132858 154396 162382 175131 214049 231594 233508 243573 265716 324764 347391 350262 428098 463188 487146 642147 694782 700524 730719 856196 974292 1284294 1389564 1461438 1926441 2354539 2568588 2922876 3852882 4709078 7063617 7705764 9418156 14127234 21190851 28254468 42381702 84763404