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89220432 = 24371312027
BaseRepresentation
bin1010101000101…
…10010101010000
320012212212102110
411110112111100
5140320023212
612504145320
72132234610
oct524262520
9205785373
1089220432
11463a96a4
1225a68240
131563b172
14bbc6a40
157c75a3c
hex5516550

89220432 has 80 divisors (see below), whose sum is σ = 265554432. Its totient is φ = 25284480.

The previous prime is 89220389. The next prime is 89220457. The reversal of 89220432 is 23402298.

It is a self number, because there is not a number n which added to its sum of digits gives 89220432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43003 + ... + 45029.

Almost surely, 289220432 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 89220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132777216).

89220432 is an abundant number, since it is smaller than the sum of its proper divisors (176334000).

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

89220432 is a wasteful number, since it uses less digits than its factorization.

89220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 89220432 is about 9445.6567797057. The cubic root of 89220432 is about 446.8428096655.

The spelling of 89220432 in words is "eighty-nine million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2027 2096 2751 3144 3668 4054 5502 6081 6288 7336 8108 11004 12162 14189 14672 16216 22008 24324 28378 32432 42567 44016 48648 56756 85134 97296 113512 170268 227024 265537 340536 531074 681072 796611 1062148 1593222 1858759 2124296 3186444 3717518 4248592 5576277 6372888 7435036 11152554 12745776 14870072 22305108 29740144 44610216 89220432