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89589696 = 2637191349
BaseRepresentation
bin1010101011100…
…00011111000000
320020120121221220
411111300133000
5140413332241
612520115040
72135333310
oct525603700
9206517856
1089589696
1146631079
1226005a80
131573a271
14bc81440
157cea166
hex55707c0

89589696 has 112 divisors (see below), whose sum is σ = 273100800. Its totient is φ = 25390080.

The previous prime is 89589673. The next prime is 89589707. The reversal of 89589696 is 69698598.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256530 + ... + 256878.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 289589696 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 89589696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136550400).

89589696 is an abundant number, since it is smaller than the sum of its proper divisors (183511104).

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

89589696 is a wasteful number, since it uses less digits than its factorization.

89589696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 60.

The square root of 89589696 is about 9465.1833579704. The cubic root of 89589696 is about 447.4584229445.

The spelling of 89589696 in words is "eighty-nine million, five hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 191 192 224 336 349 382 448 573 672 698 764 1047 1146 1337 1344 1396 1528 2094 2292 2443 2674 2792 3056 4011 4188 4584 4886 5348 5584 6112 7329 8022 8376 9168 9772 10696 11168 12224 14658 16044 16752 18336 19544 21392 22336 29316 32088 33504 36672 39088 42784 58632 64176 66659 67008 78176 85568 117264 128352 133318 156352 199977 234528 256704 266636 399954 466613 469056 533272 799908 933226 1066544 1399839 1599816 1866452 2133088 2799678 3199632 3732904 4266176 5599356 6399264 7465808 11198712 12798528 14931616 22397424 29863232 44794848 89589696