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5332992 = 2133731
BaseRepresentation
bin10100010110000000000000
3101000221111020
4110112000000
52331123432
6310145440
763221040
oct24260000
911027436
105332992
113012835
121952280
131149522
149cb720
1570522c
hex516000

5332992 has 112 divisors (see below), whose sum is σ = 16776192. Its totient is φ = 1474560.

The previous prime is 5332991. The next prime is 5333011. The reversal of 5332992 is 2992335.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5332991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172017 + ... + 172047.

Almost surely, 25332992 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 5332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388096).

5332992 is an abundant number, since it is smaller than the sum of its proper divisors (11443200).

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

5332992 is an equidigital number, since it uses as much as digits as its factorization.

5332992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 43 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The square root of 5332992 is about 2309.3271747416. The cubic root of 5332992 is about 174.7123655911.

The spelling of 5332992 in words is "five million, three hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1024 1302 1344 1488 1536 1736 1792 1984 2048 2604 2688 2976 3072 3472 3584 3968 4096 5208 5376 5952 6144 6944 7168 7936 8192 10416 10752 11904 12288 13888 14336 15872 20832 21504 23808 24576 27776 28672 31744 41664 43008 47616 55552 57344 63488 83328 86016 95232 111104 126976 166656 172032 190464 222208 253952 333312 380928 444416 666624 761856 888832 1333248 1777664 2666496 5332992