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5019872 = 2511131097
BaseRepresentation
bin10011001001100011100000
3100110000222012
4103021203200
52241113442
6255332052
760445124
oct23114340
910400865
105019872
112919560
121821028
131069b50
14949584
15692582
hex4c98e0

5019872 has 48 divisors (see below), whose sum is σ = 11621232. Its totient is φ = 2104320.

The previous prime is 5019869. The next prime is 5019877. The reversal of 5019872 is 2789105.

It is a super-2 number, since 2×50198722 = 50398229792768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5019877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4028 + ... + 5124.

It is an arithmetic number, because the mean of its divisors is an integer number (242109).

Almost surely, 25019872 is an apocalyptic number.

5019872 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 5019872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810616).

5019872 is an abundant number, since it is smaller than the sum of its proper divisors (6601360).

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

5019872 is a wasteful number, since it uses less digits than its factorization.

5019872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 5019872 is about 2240.5070854608. The cubic root of 5019872 is about 171.2238328250.

The spelling of 5019872 in words is "five million, nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1097 1144 2194 2288 4388 4576 8776 12067 14261 17552 24134 28522 35104 48268 57044 96536 114088 156871 193072 228176 313742 386144 456352 627484 1254968 2509936 5019872