Search a number
-
+
5356032 = 29311317
BaseRepresentation
bin10100011011101000000000
3101002010002120
4110123220000
52332343112
6310444240
763345153
oct24335000
911063076
105356032
113029080
121963680
131156b66
149d5c9a
1570be8c
hex51ba00

5356032 has 80 divisors (see below), whose sum is σ = 15615072. Its totient is φ = 1617920.

The previous prime is 5356019. The next prime is 5356051. The reversal of 5356032 is 2306535.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5355993 and 5356011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16738 + ... + 17054.

Almost surely, 25356032 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 5356032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807536).

5356032 is an abundant number, since it is smaller than the sum of its proper divisors (10259040).

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

5356032 is a wasteful number, since it uses less digits than its factorization.

5356032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 5356032 is about 2314.3102644200. The cubic root of 5356032 is about 174.9636060373.

The spelling of 5356032 in words is "five million, three hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 317 352 384 512 528 634 704 768 951 1056 1268 1408 1536 1902 2112 2536 2816 3487 3804 4224 5072 5632 6974 7608 8448 10144 10461 13948 15216 16896 20288 20922 27896 30432 40576 41844 55792 60864 81152 83688 111584 121728 162304 167376 223168 243456 334752 446336 486912 669504 892672 1339008 1785344 2678016 5356032