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89383416 = 233173137191
BaseRepresentation
bin1010101001111…
…10000111111000
320020012010222220
411110332013320
5140340232131
612511444040
72133514023
oct524760770
9206163886
1089383416
11465000a1
1225b26620
13156973c5
14bc2a1ba
157ca8e96
hex553e1f8

89383416 has 128 divisors (see below), whose sum is σ = 252149760. Its totient is φ = 26265600.

The previous prime is 89383409. The next prime is 89383417. The reversal of 89383416 is 61438398.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89383417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467881 + ... + 468071.

It is an arithmetic number, because the mean of its divisors is an integer number (1969920).

Almost surely, 289383416 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 89383416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126074880).

89383416 is an abundant number, since it is smaller than the sum of its proper divisors (162766344).

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

89383416 is a wasteful number, since it uses less digits than its factorization.

89383416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 89383416 is about 9454.2803004777. The cubic root of 89383416 is about 447.1147351477.

The spelling of 89383416 in words is "eighty-nine million, three hundred eighty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 37 51 62 68 74 93 102 111 124 136 148 186 191 204 222 248 296 372 382 408 444 527 573 629 744 764 888 1054 1146 1147 1258 1528 1581 1887 2108 2292 2294 2516 3162 3247 3441 3774 4216 4584 4588 5032 5921 6324 6494 6882 7067 7548 9176 9741 11842 12648 12988 13764 14134 15096 17763 19482 19499 21201 23684 25976 27528 28268 35526 38964 38998 42402 47368 56536 58497 71052 77928 77996 84804 100657 116994 120139 142104 155992 169608 201314 219077 233988 240278 301971 360417 402628 438154 467976 480556 603942 657231 720834 805256 876308 961112 1207884 1314462 1441668 1752616 2415768 2628924 2883336 3724309 5257848 7448618 11172927 14897236 22345854 29794472 44691708 89383416