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89241040 = 2457375973
BaseRepresentation
bin1010101000110…
…11010111010000
320012220220200201
411110123113100
5140321203130
612504424544
72132351650
oct524332720
9205826621
1089241040
1146413129
1225a78154
1315647665
14bbd0360
157c7bbca
hex551b5d0

89241040 has 160 divisors (see below), whose sum is σ = 251055360. Its totient is φ = 28864512.

The previous prime is 89241037. The next prime is 89241073. The reversal of 89241040 is 4014298.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1222444 + ... + 1222516.

It is an arithmetic number, because the mean of its divisors is an integer number (1569096).

Almost surely, 289241040 is an apocalyptic number.

89241040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125527680).

89241040 is an abundant number, since it is smaller than the sum of its proper divisors (161814320).

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

89241040 is a wasteful number, since it uses less digits than its factorization.

89241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 89241040 is about 9446.7475884560. The cubic root of 89241040 is about 446.8772107084.

The spelling of 89241040 in words is "eighty-nine million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 59 70 73 74 80 112 118 140 146 148 185 236 259 280 292 295 296 365 370 413 472 511 518 560 584 590 592 730 740 826 944 1022 1036 1168 1180 1295 1460 1480 1652 2044 2065 2072 2183 2360 2555 2590 2701 2920 2960 3304 4088 4130 4144 4307 4366 4720 5110 5180 5402 5840 6608 8176 8260 8614 8732 10220 10360 10804 10915 13505 15281 16520 17228 17464 18907 20440 20720 21535 21608 21830 27010 30149 30562 33040 34456 34928 37814 40880 43070 43216 43660 54020 60298 61124 68912 75628 76405 86140 87320 94535 108040 120596 122248 150745 151256 152810 159359 172280 174640 189070 216080 241192 244496 301490 302512 305620 318718 344560 378140 482384 602980 611240 637436 756280 796795 1115513 1205960 1222480 1274872 1512560 1593590 2231026 2411920 2549744 3187180 4462052 5577565 6374360 8924104 11155130 12748720 17848208 22310260 44620520 89241040