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89428416 = 26371123263
BaseRepresentation
bin1010101010010…
…01000111000000
320020021102201120
411111021013000
5140343202131
612512432240
72134062150
oct525110700
9206242646
1089428416
1146530990
1225b48680
13156b1a2c
14bc3c760
157cb7496
hex55491c0

89428416 has 224 divisors, whose sum is σ = 308994048. Its totient is φ = 22133760.

The previous prime is 89428403. The next prime is 89428441. The reversal of 89428416 is 61482498.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339901 + ... + 340163.

Almost surely, 289428416 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 89428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154497024).

89428416 is an abundant number, since it is smaller than the sum of its proper divisors (219565632).

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

89428416 is a wasteful number, since it uses less digits than its factorization.

89428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 89428416 is about 9456.6598754529. The cubic root of 89428416 is about 447.1897557292.

The spelling of 89428416 in words is "eighty-nine million, four hundred twenty-eight thousand, four hundred sixteen".