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4954016 = 252353127
BaseRepresentation
bin10010111001011110100000
3100022200122002
4102321132200
52232012031
6254103132
760052124
oct22713640
910280562
104954016
112884031
1217aaaa8
131045b92
1492d584
1567cccb
hex4b97a0

4954016 has 48 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 2306304.

The previous prime is 4954013. The next prime is 4954031. The reversal of 4954016 is 6104594.

It is a self number, because there is not a number n which added to its sum of digits gives 4954016.

It is not an unprimeable number, because it can be changed into a prime (4954013) 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, 38945 + ... + 39071.

It is an arithmetic number, because the mean of its divisors is an integer number (217728).

Almost surely, 24954016 is an apocalyptic number.

4954016 is a gapful number since it is divisible by the number (46) 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 4954016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

4954016 is an abundant number, since it is smaller than the sum of its proper divisors (5496928).

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

4954016 is a wasteful number, since it uses less digits than its factorization.

4954016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 4954016 is about 2225.7618920271. The cubic root of 4954016 is about 170.4717691611.

The spelling of 4954016 in words is "four million, nine hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 127 184 212 254 368 424 508 736 848 1016 1219 1696 2032 2438 2921 4064 4876 5842 6731 9752 11684 13462 19504 23368 26924 39008 46736 53848 93472 107696 154813 215392 309626 619252 1238504 2477008 4954016