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9982872 = 2333113409
BaseRepresentation
bin100110000101…
…001110011000
3200210011221000
4212011032120
510023422442
6553545000
7150565404
oct46051630
920704830
109982872
1156a9309
123415160
1320b6b33
14147c104
15d22d4c
hex985398

9982872 has 64 divisors (see below), whose sum is σ = 28044000. Its totient is φ = 3290112.

The previous prime is 9982871. The next prime is 9982879. The reversal of 9982872 is 2782899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982871) 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, 24204 + ... + 24612.

Almost surely, 29982872 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 9982872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022000).

9982872 is an abundant number, since it is smaller than the sum of its proper divisors (18061128).

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

9982872 is a wasteful number, since it uses less digits than its factorization.

9982872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 9982872 is about 3159.5683249457. The cubic root of 9982872 is about 215.3203948514.

The spelling of 9982872 in words is "nine million, nine hundred eighty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 409 452 678 818 904 1017 1227 1356 1636 2034 2454 2712 3051 3272 3681 4068 4908 6102 7362 8136 9816 11043 12204 14724 22086 24408 29448 44172 46217 88344 92434 138651 184868 277302 369736 415953 554604 831906 1109208 1247859 1663812 2495718 3327624 4991436 9982872