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89908416 = 26321312007
BaseRepresentation
bin1010101101111…
…10010011000000
320021011211011100
411112332103000
5141004032131
612531014400
72141131443
oct526762300
9207154140
1089908416
1146829584
122613a400
131581c360
14bd2565a
157d5e7e6
hex55be4c0

89908416 has 84 divisors (see below), whose sum is σ = 277552912. Its totient is φ = 27661824.

The previous prime is 89908387. The next prime is 89908421. The reversal of 89908416 is 61480998.

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 11 ways as a sum of consecutive naturals, for example, 1485 + ... + 13491.

Almost surely, 289908416 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 89908416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138776456).

89908416 is an abundant number, since it is smaller than the sum of its proper divisors (187644496).

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

89908416 is a wasteful number, since it uses less digits than its factorization.

89908416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038 (or 12025 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 89908416 is about 9482.0048512960. The cubic root of 89908416 is about 447.9884138160.

The spelling of 89908416 in words is "eighty-nine million, nine hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 12007 24014 36021 48028 72042 96056 108063 144084 156091 192112 216126 288168 312182 384224 432252 468273 576336 624364 768448 864504 936546 1152672 1248728 1404819 1729008 1873092 2305344 2497456 2809638 3458016 3746184 4994912 5619276 6916032 7492368 9989824 11238552 14984736 22477104 29969472 44954208 89908416