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5408312 = 23713171923
BaseRepresentation
bin10100101000011000111000
3101011202210212
4110220120320
52341031222
6311530252
763653450
oct24503070
911152725
105408312
113064388
121989988
1311748b0
14a0ad60
1571c6e2
hex528638

5408312 has 128 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1824768.

The previous prime is 5408311. The next prime is 5408323. The reversal of 5408312 is 2138045.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235133 + ... + 235155.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 25408312 is an apocalyptic number.

5408312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5408312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

5408312 is an abundant number, since it is smaller than the sum of its proper divisors (9106888).

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

5408312 is a wasteful number, since it uses less digits than its factorization.

5408312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5408312 is about 2325.5777776716. The cubic root of 5408312 is about 175.5310345736.

The spelling of 5408312 in words is "five million, four hundred eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 17 19 23 26 28 34 38 46 52 56 68 76 91 92 104 119 133 136 152 161 182 184 221 238 247 266 299 322 323 364 391 437 442 476 494 532 598 644 646 728 782 874 884 952 988 1064 1196 1288 1292 1547 1564 1729 1748 1768 1976 2093 2261 2392 2584 2737 3059 3094 3128 3458 3496 4186 4199 4522 5083 5474 5681 6118 6188 6916 7429 8372 8398 9044 10166 10948 11362 12236 12376 13832 14858 16744 16796 18088 20332 21896 22724 24472 29393 29716 33592 35581 39767 40664 45448 52003 58786 59432 71162 79534 96577 104006 117572 142324 159068 193154 208012 235144 284648 318136 386308 416024 676039 772616 1352078 2704156 5408312