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4941728 = 2511101139
BaseRepresentation
bin10010110110011110100000
3100022001202222
4102312132200
52231113403
6253530212
760001241
oct22663640
910261688
104941728
112875880
1217a3968
1310403cc
14928cc8
15679338
hex4b67a0

4941728 has 48 divisors (see below), whose sum is σ = 10795680. Its totient is φ = 2208000.

The previous prime is 4941709. The next prime is 4941731. The reversal of 4941728 is 8271494.

It is a Cunningham number, because it is equal to 22232-1.

It is an unprimeable number.

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, 35483 + ... + 35621.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 24941728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4941728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397840).

4941728 is an abundant number, since it is smaller than the sum of its proper divisors (5853952).

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

4941728 is a wasteful number, since it uses less digits than its factorization.

4941728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 4941728 is about 2222.9997750787. Note that the first 3 decimals coincide. The cubic root of 4941728 is about 170.3307057327.

It can be divided in two parts, 494 and 1728, that added together give a palindrome (2222).

The spelling of 4941728 in words is "four million, nine hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 139 176 202 278 352 404 556 808 1111 1112 1529 1616 2222 2224 3058 3232 4444 4448 6116 8888 12232 14039 17776 24464 28078 35552 48928 56156 112312 154429 224624 308858 449248 617716 1235432 2470864 4941728