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90027252 = 223272997127
BaseRepresentation
bin1010101110110…
…11010011110100
320021101212011200
411113123103310
5141021333002
612533332500
72142135060
oct527332364
9207355150
1090027252
11468aa897
1226197130
1315861483
14bd56aa0
157d84b1c
hex55db4f4

90027252 has 144 divisors (see below), whose sum is σ = 273960960. Its totient is φ = 24385536.

The previous prime is 90027247. The next prime is 90027271. The reversal of 90027252 is 25272009.

It is a happy number.

It is a super-2 number, since 2×900272522 = 16209812205343008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708813 + ... + 708939.

Almost surely, 290027252 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 90027252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136980480).

90027252 is an abundant number, since it is smaller than the sum of its proper divisors (183933708).

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

90027252 is a wasteful number, since it uses less digits than its factorization.

90027252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 90027252 is about 9488.2691783064. The cubic root of 90027252 is about 448.1857024029.

The spelling of 90027252 in words is "ninety million, twenty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 97 116 126 127 174 194 203 252 254 261 291 348 381 388 406 508 522 582 609 679 762 812 873 889 1044 1143 1164 1218 1358 1524 1746 1778 1827 2037 2286 2436 2667 2716 2813 3492 3556 3654 3683 4074 4572 5334 5626 6111 7308 7366 8001 8148 8439 10668 11049 11252 12222 12319 14732 16002 16878 19691 22098 24444 24638 25317 25781 32004 33147 33756 36957 39382 44196 49276 50634 51562 59073 66294 73914 77343 78764 86233 101268 103124 110871 118146 132588 147828 154686 172466 177219 221742 232029 236292 258699 309372 344932 354438 357251 443484 464058 517398 708876 714502 776097 928116 1034796 1071753 1429004 1552194 2143506 2500757 3104388 3215259 4287012 5001514 6430518 7502271 10003028 12861036 15004542 22506813 30009084 45013626 90027252