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89660544 = 2731912289
BaseRepresentation
bin1010101100000…
…01110010000000
320020201020010220
411112001302000
5140423114134
612521423040
72136050001
oct526016200
9206636126
1089660544
114667a326
122603aa80
131576359c
14bc9d1a8
157d11149
hex5581c80

89660544 has 64 divisors (see below), whose sum is σ = 250716000. Its totient is φ = 28311552.

The previous prime is 89660531. The next prime is 89660551. The reversal of 89660544 is 44506698.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 89660496 and 89660505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1152 + ... + 13440.

Almost surely, 289660544 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 89660544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125358000).

89660544 is an abundant number, since it is smaller than the sum of its proper divisors (161055456).

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

89660544 is a wasteful number, since it uses less digits than its factorization.

89660544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 89660544 is about 9468.9251765974. The cubic root of 89660544 is about 447.5763426862.

The spelling of 89660544 in words is "eighty-nine million, six hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 12289 24578 36867 49156 73734 98312 147468 196624 233491 294936 393248 466982 589872 700473 786496 933964 1179744 1400946 1572992 1867928 2359488 2801892 3735856 4718976 5603784 7471712 11207568 14943424 22415136 29886848 44830272 89660544