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889272 = 233323179
BaseRepresentation
bin11011001000110111000
31200011212000
43121012320
5211424042
631021000
710362426
oct3310670
91604760
10889272
1155813a
1236a760
132519c7
14192116
1512874c
hexd91b8

889272 has 64 divisors (see below), whose sum is σ = 2592000. Its totient is φ = 281952.

The previous prime is 889271. The next prime is 889279. The reversal of 889272 is 272988.

889272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 889272.

It is not an unprimeable number, because it can be changed into a prime (889271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4879 + ... + 5057.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2889272 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 889272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296000).

889272 is an abundant number, since it is smaller than the sum of its proper divisors (1702728).

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

889272 is a wasteful number, since it uses less digits than its factorization.

889272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 889272 is about 943.0121950431. The cubic root of 889272 is about 96.1637829156.

The spelling of 889272 in words is "eight hundred eighty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 179 184 207 216 276 358 414 537 552 621 716 828 1074 1242 1432 1611 1656 2148 2484 3222 4117 4296 4833 4968 6444 8234 9666 12351 12888 16468 19332 24702 32936 37053 38664 49404 74106 98808 111159 148212 222318 296424 444636 889272