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89838 = 23272331
BaseRepresentation
bin10101111011101110
311120020100
4111323232
510333323
61531530
7522630
oct257356
9146210
1089838
1161551
1243ba6
1331b78
1424a50
151b943
hex15eee

89838 has 48 divisors (see below), whose sum is σ = 239616. Its totient is φ = 23760.

The previous prime is 89833. The next prime is 89839. The reversal of 89838 is 83898.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2883 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (4992).

289838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119808).

89838 is an abundant number, since it is smaller than the sum of its proper divisors (149778).

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

89838 is a wasteful number, since it uses less digits than its factorization.

89838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 66 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 89838 is about 299.7298783905. The cubic root of 89838 is about 44.7871428879.

The spelling of 89838 in words is "eighty-nine thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 62 63 69 93 126 138 161 186 207 217 279 322 414 434 483 558 651 713 966 1302 1426 1449 1953 2139 2898 3906 4278 4991 6417 9982 12834 14973 29946 44919 89838