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5382936 = 23361371
BaseRepresentation
bin10100100010001100011000
3101010111000000
4110202030120
52334223221
6311213000
763516456
oct24421430
911114000
105382936
113047309
121977160
131166190
14a019d6
15714e26
hex522318

5382936 has 112 divisors (see below), whose sum is σ = 16526160. Its totient is φ = 1632960.

The previous prime is 5382929. The next prime is 5382961. The reversal of 5382936 is 6392835.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (38880) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 5382936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75781 + ... + 75851.

It is an arithmetic number, because the mean of its divisors is an integer number (147555).

Almost surely, 25382936 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 5382936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263080).

5382936 is an abundant number, since it is smaller than the sum of its proper divisors (11143224).

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

5382936 is a wasteful number, since it uses less digits than its factorization.

5382936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 5382936 is about 2320.1155143656. The cubic root of 5382936 is about 175.2560713755.

The spelling of 5382936 in words is "five million, three hundred eighty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 71 72 78 81 104 108 117 142 156 162 213 216 234 243 284 312 324 351 426 468 486 568 639 648 702 729 852 923 936 972 1053 1278 1404 1458 1704 1846 1917 1944 2106 2556 2769 2808 2916 3159 3692 3834 4212 5112 5538 5751 5832 6318 7384 7668 8307 8424 9477 11076 11502 12636 15336 16614 17253 18954 22152 23004 24921 25272 33228 34506 37908 46008 49842 51759 66456 69012 74763 75816 99684 103518 138024 149526 199368 207036 224289 299052 414072 448578 598104 672867 897156 1345734 1794312 2691468 5382936