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5162304 = 263723167
BaseRepresentation
bin10011101100010101000000
3100201021100110
4103230111000
52310143204
6302351320
761610310
oct23542500
910637313
105162304
112a06574
12188b540
1310b9924
14985440
156be889
hex4ec540

5162304 has 112 divisors (see below), whose sum is σ = 16386048. Its totient is φ = 1402368.

The previous prime is 5162303. The next prime is 5162329. The reversal of 5162304 is 4032615.

It is a happy number.

5162304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162303) 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, 30829 + ... + 30995.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

Almost surely, 25162304 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 5162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193024).

5162304 is an abundant number, since it is smaller than the sum of its proper divisors (11223744).

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

5162304 is a wasteful number, since it uses less digits than its factorization.

5162304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5162304 is about 2272.0704214438. The cubic root of 5162304 is about 172.8281675619.

Adding to 5162304 its reverse (4032615), we get a palindrome (9194919).

The spelling of 5162304 in words is "five million, one hundred sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 167 168 184 192 224 276 322 334 336 368 448 483 501 552 644 668 672 736 966 1002 1104 1169 1288 1336 1344 1472 1932 2004 2208 2338 2576 2672 3507 3841 3864 4008 4416 4676 5152 5344 7014 7682 7728 8016 9352 10304 10688 11523 14028 15364 15456 16032 18704 23046 26887 28056 30728 30912 32064 37408 46092 53774 56112 61456 74816 80661 92184 107548 112224 122912 161322 184368 215096 224448 245824 322644 368736 430192 645288 737472 860384 1290576 1720768 2581152 5162304