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89033256 = 2335132271
BaseRepresentation
bin1010100111010…
…00101000101000
320012112100200000
411103220220220
5140243031011
612500143000
72130525114
oct523505050
9205470600
1089033256
1146291004
1225997a60
13155a3c00
14bb78744
157c3a356
hex54e8a28

89033256 has 144 divisors (see below), whose sum is σ = 271776960. Its totient is φ = 27293760.

The previous prime is 89033251. The next prime is 89033257. The reversal of 89033256 is 65233098.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89033256.

It is not an unprimeable number, because it can be changed into a prime (89033251) 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 35 ways as a sum of consecutive naturals, for example, 328401 + ... + 328671.

It is an arithmetic number, because the mean of its divisors is an integer number (1887340).

Almost surely, 289033256 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 89033256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135888480).

89033256 is an abundant number, since it is smaller than the sum of its proper divisors (182743704).

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

89033256 is a wasteful number, since it uses less digits than its factorization.

89033256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 89033256 is about 9435.7435319110. The cubic root of 89033256 is about 446.5301129566.

The spelling of 89033256 in words is "eighty-nine million, thirty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 243 271 312 324 338 351 468 486 507 542 648 676 702 813 936 972 1014 1053 1084 1352 1404 1521 1626 1944 2028 2106 2168 2439 2808 3042 3159 3252 3523 4056 4212 4563 4878 6084 6318 6504 7046 7317 8424 9126 9756 10569 12168 12636 13689 14092 14634 18252 19512 21138 21951 25272 27378 28184 29268 31707 36504 41067 42276 43902 45799 54756 58536 63414 65853 82134 84552 87804 91598 95121 109512 126828 131706 137397 164268 175608 183196 190242 253656 263412 274794 285363 328536 366392 380484 412191 526824 549588 570726 760968 824382 856089 1099176 1141452 1236573 1648764 1712178 2282904 2473146 3297528 3424356 3709719 4946292 6848712 7419438 9892584 11129157 14838876 22258314 29677752 44516628 89033256