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96889464 = 23327229947
BaseRepresentation
bin1011100011001…
…10101001111000
320202022111100200
411301212221320
5144300430324
613340402200
72254355400
oct561465170
9222274320
1096889464
114a767541
1228546360
13170c4a59
14cc21800
15878cec9
hex5c66a78

96889464 has 144 divisors (see below), whose sum is σ = 316110600. Its totient is φ = 26699904.

The previous prime is 96889453. The next prime is 96889483. The reversal of 96889464 is 46498869.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 96889464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101839 + ... + 102785.

Almost surely, 296889464 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 96889464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158055300).

96889464 is an abundant number, since it is smaller than the sum of its proper divisors (219221136).

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

96889464 is a wasteful number, since it uses less digits than its factorization.

96889464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 96889464 is about 9843.2445870252. The cubic root of 96889464 is about 459.2954937232.

The spelling of 96889464 in words is "ninety-six million, eight hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 882 947 1044 1176 1218 1421 1624 1764 1827 1894 2088 2436 2841 2842 3528 3654 3788 4263 4872 5682 5684 6629 7308 7576 8523 8526 11364 11368 12789 13258 14616 17046 17052 19887 22728 25578 26516 27463 34092 34104 39774 46403 51156 53032 54926 59661 68184 79548 82389 92806 102312 109852 119322 139209 159096 164778 185612 192241 219704 238644 247167 278418 329556 371224 384482 417627 477288 494334 556836 576723 659112 768964 835254 988668 1113672 1153446 1345687 1537928 1670508 1730169 1977336 2306892 2691374 3341016 3460338 4037061 4613784 5382748 6920676 8074122 10765496 12111183 13841352 16148244 24222366 32296488 48444732 96889464