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89212032 = 27327132337
BaseRepresentation
bin1010101000101…
…00010010000000
320012212102220100
411110110102000
5140314241112
612504042400
72132201250
oct524242200
9205772810
1089212032
11463a3358
1225a63400
13156373b0
14bbc3960
157c732dc
hex5514480

89212032 has 384 divisors, whose sum is σ = 338607360. Its totient is φ = 21897216.

The previous prime is 89212021. The next prime is 89212043. The reversal of 89212032 is 23021298.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89212021) and next prime (89212043).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 89211987 and 89212005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2411118 + ... + 2411154.

It is an arithmetic number, because the mean of its divisors is an integer number (881790).

Almost surely, 289212032 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 89212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

89212032 is an abundant number, since it is smaller than the sum of its proper divisors (249395328).

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

89212032 is a wasteful number, since it uses less digits than its factorization.

89212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 89212032 is about 9445.2121204344. The cubic root of 89212032 is about 446.8287859817.

The spelling of 89212032 in words is "eighty-nine million, two hundred twelve thousand, thirty-two".