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89094432 = 2537197673
BaseRepresentation
bin1010100111101…
…11100100100000
320012122110120210
411103313210200
5140302010212
612501334120
72131201350
oct523674440
9205573523
1089094432
1146322a69
1225a07340
13155c59cb
14bb92b60
157c4d53c
hex54f7920

89094432 has 96 divisors (see below), whose sum is σ = 269039232. Its totient is φ = 25288704.

The previous prime is 89094427. The next prime is 89094443. The reversal of 89094432 is 23449098.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 132048 + ... + 132720.

It is an arithmetic number, because the mean of its divisors is an integer number (2802492).

Almost surely, 289094432 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 89094432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134519616).

89094432 is an abundant number, since it is smaller than the sum of its proper divisors (179944800).

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

89094432 is a wasteful number, since it uses less digits than its factorization.

89094432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 89094432 is about 9438.9846911625. The cubic root of 89094432 is about 446.6323619108.

The spelling of 89094432 in words is "eighty-nine million, ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 197 224 336 394 591 672 673 788 1182 1346 1379 1576 2019 2364 2692 2758 3152 4038 4137 4711 4728 5384 5516 6304 8076 8274 9422 9456 10768 11032 14133 16152 16548 18844 18912 21536 22064 28266 32304 33096 37688 44128 56532 64608 66192 75376 113064 132384 132581 150752 226128 265162 397743 452256 530324 795486 928067 1060648 1590972 1856134 2121296 2784201 3181944 3712268 4242592 5568402 6363888 7424536 11136804 12727776 14849072 22273608 29698144 44547216 89094432