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89987328 = 283347277
BaseRepresentation
bin1010101110100…
…01100100000000
320021022211102000
411113101210000
5141014043303
612532424000
72141610504
oct527214400
9207284360
1089987328
11468828a2
1226178000
1315849252
14bd46304
157d77da3
hex55d1900

89987328 has 144 divisors (see below), whose sum is σ = 272751360. Its totient is φ = 29251584.

The previous prime is 89987323. The next prime is 89987329. The reversal of 89987328 is 82378998.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (89987323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324726 + ... + 325002.

Almost surely, 289987328 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 89987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136375680).

89987328 is an abundant number, since it is smaller than the sum of its proper divisors (182764032).

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

89987328 is a wasteful number, since it uses less digits than its factorization.

89987328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 89987328 is about 9486.1650839525. The cubic root of 89987328 is about 448.1194409422.

The spelling of 89987328 in words is "eighty-nine million, nine hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 277 282 288 376 384 423 432 554 564 576 752 768 831 846 864 1108 1128 1152 1269 1504 1662 1692 1728 2216 2256 2304 2493 2538 3008 3324 3384 3456 4432 4512 4986 5076 6016 6648 6768 6912 7479 8864 9024 9972 10152 12032 13019 13296 13536 14958 17728 18048 19944 20304 26038 26592 27072 29916 35456 36096 39057 39888 40608 52076 53184 54144 59832 70912 78114 79776 81216 104152 106368 108288 117171 119664 156228 159552 162432 208304 212736 234342 239328 312456 319104 324864 351513 416608 468684 478656 624912 638208 703026 833216 937368 957312 1249824 1406052 1666432 1874736 1914624 2499648 2812104 3332864 3749472 4999296 5624208 7498944 9998592 11248416 14997888 22496832 29995776 44993664 89987328