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84605796 = 22351141193
BaseRepresentation
bin1010000101011…
…11101101100100
312220012102100000
411002233231210
5133124341141
612221221300
72045065062
oct502575544
9186172300
1084605796
1143837650
1224401830
13146b3902
14b345032
1576635b6
hex50afb64

84605796 has 144 divisors (see below), whose sum is σ = 249133248. Its totient is φ = 24883200.

The previous prime is 84605777. The next prime is 84605797. The reversal of 84605796 is 69750648.

It is not an unprimeable number, because it can be changed into a prime (84605797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438276 + ... + 438468.

It is an arithmetic number, because the mean of its divisors is an integer number (1730092).

Almost surely, 284605796 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 84605796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124566624).

84605796 is an abundant number, since it is smaller than the sum of its proper divisors (164527452).

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

84605796 is a wasteful number, since it uses less digits than its factorization.

84605796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 84605796 is about 9198.1408991165. The cubic root of 84605796 is about 439.0022087086.

The spelling of 84605796 in words is "eighty-four million, six hundred five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 81 82 99 108 123 132 162 164 193 198 243 246 297 324 369 386 396 451 486 492 579 594 738 772 891 902 972 1107 1158 1188 1353 1476 1737 1782 1804 2123 2214 2316 2673 2706 3321 3474 3564 4059 4246 4428 5211 5346 5412 6369 6642 6948 7913 8118 8492 9963 10422 10692 12177 12738 13284 15633 15826 16236 19107 19926 20844 23739 24354 25476 31266 31652 36531 38214 39852 46899 47478 48708 57321 62532 71217 73062 76428 87043 93798 94956 109593 114642 142434 146124 171963 174086 187596 213651 219186 229284 261129 284868 343926 348172 427302 438372 515889 522258 640953 687852 783387 854604 1031778 1044516 1281906 1566774 1922859 2063556 2350161 2563812 3133548 3845718 4700322 7050483 7691436 9400644 14100966 21151449 28201932 42302898 84605796