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88201386 = 23471331193
BaseRepresentation
bin1010100000111…
…01100010101010
320010222002120000
411100131202222
5140034421021
612430243430
72120461620
oct520354252
9203862500
1088201386
1145873009
1225656576
1315372390
14b9dd510
157b23b26
hex541d8aa

88201386 has 160 divisors (see below), whose sum is σ = 252392448. Its totient is φ = 22394880.

The previous prime is 88201369. The next prime is 88201397. The reversal of 88201386 is 68310288.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 88201386.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 456906 + ... + 457098.

Almost surely, 288201386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88201386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126196224).

88201386 is an abundant number, since it is smaller than the sum of its proper divisors (164191062).

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

88201386 is a wasteful number, since it uses less digits than its factorization.

88201386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 88201386 is about 9391.5592954525. The cubic root of 88201386 is about 445.1350614737.

The spelling of 88201386 in words is "eighty-eight million, two hundred one thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 81 91 93 117 126 162 182 186 189 193 217 234 273 279 351 378 386 403 434 546 558 567 579 651 702 806 819 837 1053 1134 1158 1209 1302 1351 1638 1674 1737 1953 2106 2418 2457 2509 2511 2702 2821 3474 3627 3906 4053 4914 5018 5022 5211 5642 5859 5983 7254 7371 7527 8106 8463 10422 10881 11718 11966 12159 14742 15054 15633 16926 17563 17577 17949 21762 22581 24318 25389 31266 32643 35126 35154 35898 36477 41881 45162 50778 52689 53847 65286 67743 72954 76167 77779 83762 105378 107694 109431 125643 135486 152334 155558 158067 161541 203229 218862 228501 233337 251286 316134 323082 376929 406458 457002 466674 474201 484623 544453 700011 753858 948402 969246 1088906 1130787 1400022 1422603 1633359 2100033 2261574 2845206 3266718 3392361 4200066 4900077 6300099 6784722 9800154 12600198 14700231 29400462 44100693 88201386