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5196016 = 247172729
BaseRepresentation
bin10011110100100011110000
3100202222121001
4103310203300
52312233031
6303211344
762110510
oct23644360
910688531
105196016
112a29931
1218a6b54
1310cc087
14993840
156c9861
hex4f48f0

5196016 has 40 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 2095104.

The previous prime is 5196013. The next prime is 5196029. The reversal of 5196016 is 6106915.

5196016 = T43 + T44 + ... + T314.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5196011) 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 7 ways as a sum of consecutive naturals, for example, 540 + ... + 3268.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 25196016 is an apocalyptic number.

5196016 is a gapful number since it is divisible by the number (56) 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 5196016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

5196016 is an abundant number, since it is smaller than the sum of its proper divisors (6990704).

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

5196016 is a wasteful number, since it uses less digits than its factorization.

5196016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 5196016 is about 2279.4771330285. The cubic root of 5196016 is about 173.2035649358.

The spelling of 5196016 in words is "five million, one hundred ninety-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 2729 5458 10916 19103 21832 38206 43664 46393 76412 92786 152824 185572 305648 324751 371144 649502 742288 1299004 2598008 5196016