Search a number
-
+
89863668 = 22342331389
BaseRepresentation
bin1010101101100…
…11010111110100
320021002112210000
411112303113310
5141001114133
612530031300
72140554126
oct526632764
9207075700
1089863668
11467a89a4
1226118530
1315804b8b
14bd13216
157d51413
hex55b35f4

89863668 has 120 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 27656640.

The previous prime is 89863607. The next prime is 89863687. The reversal of 89863668 is 86636898.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 230818 + ... + 231206.

It is an arithmetic number, because the mean of its divisors is an integer number (2114112).

Almost surely, 289863668 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 89863668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846720).

89863668 is an abundant number, since it is smaller than the sum of its proper divisors (163829772).

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

89863668 is a wasteful number, since it uses less digits than its factorization.

89863668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

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

The square root of 89863668 is about 9479.6449300594. The cubic root of 89863668 is about 447.9140792389.

It can be divided in two parts, 898636 and 68, that added together give a square (898704 = 9482).

The spelling of 89863668 in words is "eighty-nine million, eight hundred sixty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 81 92 93 108 124 138 162 186 207 276 279 324 372 389 414 558 621 713 778 828 837 1116 1167 1242 1426 1556 1674 1863 2139 2334 2484 2511 2852 3348 3501 3726 4278 4668 5022 6417 7002 7452 8556 8947 10044 10503 12059 12834 14004 17894 19251 21006 24118 25668 26841 31509 35788 36177 38502 42012 48236 53682 57753 63018 72354 77004 80523 107364 108531 115506 126036 144708 161046 217062 231012 241569 277357 322092 325593 434124 483138 554714 651186 724707 832071 966276 976779 1109428 1302372 1449414 1664142 1953558 2496213 2898828 3328284 3907116 4992426 7488639 9984852 14977278 22465917 29954556 44931834 89863668