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89271630 = 23257231653
BaseRepresentation
bin1010101001000…
…10110101001110
320012222110122200
411110202311032
5140323143010
612505222330
72132540100
oct524426516
9205873580
1089271630
1146434108
1225a919a6
1315658566
14bbdb570
157c85cc0
hex5522d4e

89271630 has 144 divisors (see below), whose sum is σ = 279137664. Its totient is φ = 19716480.

The previous prime is 89271587. The next prime is 89271631. The reversal of 89271630 is 3617298.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89271631) 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 71 ways as a sum of consecutive naturals, for example, 136384 + ... + 137036.

It is an arithmetic number, because the mean of its divisors is an integer number (1938456).

Almost surely, 289271630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89271630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139568832).

89271630 is an abundant number, since it is smaller than the sum of its proper divisors (189866034).

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

89271630 is a wasteful number, since it uses less digits than its factorization.

89271630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 89271630 is about 9448.3665254900. The cubic root of 89271630 is about 446.9282649926.

The spelling of 89271630 in words is "eighty-nine million, two hundred seventy-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 49 62 63 70 90 93 98 105 126 147 155 186 210 217 245 279 294 310 315 434 441 465 490 558 630 651 653 735 882 930 1085 1302 1306 1395 1470 1519 1953 1959 2170 2205 2790 3038 3255 3265 3906 3918 4410 4557 4571 5877 6510 6530 7595 9114 9142 9765 9795 11754 13671 13713 15190 19530 19590 20243 22785 22855 27342 27426 29385 31997 40486 41139 45570 45710 58770 60729 63994 68355 68565 82278 95991 101215 121458 136710 137130 141701 159985 182187 191982 202430 205695 283402 287973 303645 319970 364374 411390 425103 479955 575946 607290 708505 850206 910935 959910 991907 1275309 1417010 1439865 1821870 1983814 2125515 2550618 2879730 2975721 4251030 4959535 5951442 6376545 8927163 9919070 12753090 14878605 17854326 29757210 44635815 89271630