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5154016 = 257219173
BaseRepresentation
bin10011101010010011100000
3100200211222111
4103222103200
52304412031
6302245104
761544200
oct23522340
910624874
105154016
112a0031a
121886794
1310b5c1a
14982400
156bc1b1
hex4ea4e0

5154016 has 72 divisors (see below), whose sum is σ = 12496680. Its totient is φ = 2080512.

The previous prime is 5154013. The next prime is 5154049. The reversal of 5154016 is 6104515.

5154016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5154013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29706 + ... + 29878.

It is an arithmetic number, because the mean of its divisors is an integer number (173565).

Almost surely, 25154016 is an apocalyptic number.

5154016 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 5154016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248340).

5154016 is an abundant number, since it is smaller than the sum of its proper divisors (7342664).

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

5154016 is a wasteful number, since it uses less digits than its factorization.

5154016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 5154016 is about 2270.2458016699. The cubic root of 5154016 is about 172.7356270281.

The spelling of 5154016 in words is "five million, one hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 173 196 224 266 304 346 392 532 608 692 784 931 1064 1211 1384 1568 1862 2128 2422 2768 3287 3724 4256 4844 5536 6574 7448 8477 9688 13148 14896 16954 19376 23009 26296 29792 33908 38752 46018 52592 67816 92036 105184 135632 161063 184072 271264 322126 368144 644252 736288 1288504 2577008 5154016