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5003232 = 2531319211
BaseRepresentation
bin10011000101011111100000
3100102012010220
4103011133200
52240100412
6255123040
760345453
oct23053740
910365126
105003232
112908003
121813480
1310623c0
1494349a
1568c68c
hex4c57e0

5003232 has 96 divisors (see below), whose sum is σ = 14958720. Its totient is φ = 1451520.

The previous prime is 5003231. The next prime is 5003239. The reversal of 5003232 is 2323005.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23607 + ... + 23817.

It is an arithmetic number, because the mean of its divisors is an integer number (155820).

Almost surely, 25003232 is an apocalyptic number.

5003232 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 5003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479360).

5003232 is an abundant number, since it is smaller than the sum of its proper divisors (9955488).

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

5003232 is a wasteful number, since it uses less digits than its factorization.

5003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 5003232 is about 2236.7905579200. The cubic root of 5003232 is about 171.0344310135.

Adding to 5003232 its reverse (2323005), we get a palindrome (7326237).

The spelling of 5003232 in words is "five million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 211 228 247 304 312 416 422 456 494 608 624 633 741 844 912 988 1248 1266 1482 1688 1824 1976 2532 2743 2964 3376 3952 4009 5064 5486 5928 6752 7904 8018 8229 10128 10972 11856 12027 16036 16458 20256 21944 23712 24054 32072 32916 43888 48108 52117 64144 65832 87776 96216 104234 128288 131664 156351 192432 208468 263328 312702 384864 416936 625404 833872 1250808 1667744 2501616 5003232