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89819028 = 2232133141151
BaseRepresentation
bin1010101101010…
…00011110010100
320021000021112200
411112220132110
5140443202103
612525044500
72140310025
oct526503624
9207007480
1089819028
1146778402
12260b6730
13157ba770
14bd00c4c
157d430a3
hex55a8794

89819028 has 144 divisors (see below), whose sum is σ = 260262912. Its totient is φ = 25920000.

The previous prime is 89818969. The next prime is 89819029. The reversal of 89819028 is 82091898.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89819029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594753 + ... + 594903.

Almost surely, 289819028 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 89819028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130131456).

89819028 is an abundant number, since it is smaller than the sum of its proper divisors (170443884).

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

89819028 is a wasteful number, since it uses less digits than its factorization.

89819028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 89819028 is about 9477.2901190161. The cubic root of 89819028 is about 447.8398994779.

The spelling of 89819028 in words is "eighty-nine million, eight hundred nineteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 41 52 62 78 82 93 117 123 124 151 156 164 186 234 246 279 302 369 372 403 453 468 492 533 558 604 738 806 906 1066 1116 1209 1271 1359 1476 1599 1612 1812 1963 2132 2418 2542 2718 3198 3627 3813 3926 4681 4797 4836 5084 5436 5889 6191 6396 7254 7626 7852 9362 9594 11439 11778 12382 14043 14508 15252 16523 17667 18573 18724 19188 22878 23556 24764 28086 33046 35334 37146 42129 45756 49569 55719 56172 60853 66092 70668 74292 80483 84258 99138 111438 121706 148707 160966 168516 182559 191921 198276 222876 241449 243412 297414 321932 365118 383842 482898 547677 575763 594828 724347 730236 767684 965796 1095354 1151526 1448694 1727289 2190708 2303052 2494973 2897388 3454578 4989946 6909156 7484919 9979892 14969838 22454757 29939676 44909514 89819028