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89892684 = 223273137311
BaseRepresentation
bin1010101101110…
…10011101001100
320021011000120200
411112322131030
5141003031214
612530413500
72141034540
oct526723514
9207130520
1089892684
1146818782
1226131290
131581514b
14bd1da20
157d59d09
hex55ba74c

89892684 has 144 divisors (see below), whose sum is σ = 276197376. Its totient is φ = 24105600.

The previous prime is 89892683. The next prime is 89892701. The reversal of 89892684 is 48629898.

It is a self number, because there is not a number n which added to its sum of digits gives 89892684.

It is not an unprimeable number, because it can be changed into a prime (89892683) 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, 288889 + ... + 289199.

Almost surely, 289892684 is an apocalyptic number.

89892684 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89892684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138098688).

89892684 is an abundant number, since it is smaller than the sum of its proper divisors (186304692).

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

89892684 is a wasteful number, since it uses less digits than its factorization.

89892684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 391 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 89892684 is about 9481.1752436077. The cubic root of 89892684 is about 447.9622829110.

The spelling of 89892684 in words is "eighty-nine million, eight hundred ninety-two thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 37 42 62 63 74 84 93 111 124 126 148 186 217 222 252 259 279 311 333 372 434 444 518 558 622 651 666 777 868 933 1036 1116 1147 1244 1302 1332 1554 1866 1953 2177 2294 2331 2604 2799 3108 3441 3732 3906 4354 4588 4662 5598 6531 6882 7812 8029 8708 9324 9641 10323 11196 11507 13062 13764 16058 19282 19593 20646 23014 24087 26124 28923 32116 34521 38564 39186 41292 46028 48174 57846 67487 69042 72261 78372 80549 86769 96348 103563 115692 134974 138084 144522 161098 173538 202461 207126 241647 269948 289044 322196 347076 356717 404922 414252 483294 607383 713434 724941 809844 966588 1070151 1214766 1426868 1449882 2140302 2429532 2497019 2899764 3210453 4280604 4994038 6420906 7491057 9988076 12841812 14982114 22473171 29964228 44946342 89892684