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89161728 = 2153907
BaseRepresentation
bin1010101000010…
…00000000000000
320012202212220020
411110020000000
5140311133403
612503013440
72131601505
oct524100000
9205685806
1089161728
1146369587
1225a3a280
131561a526
14bbad4ac
157c63453
hex5508000

89161728 has 64 divisors (see below), whose sum is σ = 238023120. Its totient is φ = 29687808.

The previous prime is 89161717. The next prime is 89161733. The reversal of 89161728 is 82716198.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89161728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97851 + ... + 98757.

Almost surely, 289161728 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 89161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119011560).

89161728 is an abundant number, since it is smaller than the sum of its proper divisors (148861392).

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

89161728 is an frugal number, since it uses more digits than its factorization.

89161728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 912 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 89161728 is about 9442.5488084521. The cubic root of 89161728 is about 446.7447857228.

The spelling of 89161728 in words is "eighty-nine million, one hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 907 1024 1536 1814 2048 2721 3072 3628 4096 5442 6144 7256 8192 10884 12288 14512 16384 21768 24576 29024 32768 43536 49152 58048 87072 98304 116096 174144 232192 348288 464384 696576 928768 1393152 1857536 2786304 3715072 5572608 7430144 11145216 14860288 22290432 29720576 44580864 89161728