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4946208 = 25367769
BaseRepresentation
bin10010110111100100100000
3100022021220220
4102313210200
52231234313
6254003040
760020301
oct22674440
910267826
104946208
112879183
1217a6480
131042467
1492a7a8
1567a823
hex4b7920

4946208 has 48 divisors (see below), whose sum is σ = 13194720. Its totient is φ = 1622016.

The previous prime is 4946203. The next prime is 4946209. The reversal of 4946208 is 8026494.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (4946203) 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, 6048 + ... + 6816.

It is an arithmetic number, because the mean of its divisors is an integer number (274890).

Almost surely, 24946208 is an apocalyptic number.

4946208 is a gapful number since it is divisible by the number (48) 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 4946208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597360).

4946208 is an abundant number, since it is smaller than the sum of its proper divisors (8248512).

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

4946208 is a wasteful number, since it uses less digits than its factorization.

4946208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4946208 is about 2224.0071942330. The cubic root of 4946208 is about 170.3821621655.

The spelling of 4946208 in words is "four million, nine hundred forty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 769 804 1072 1538 1608 2144 2307 3076 3216 4614 6152 6432 9228 12304 18456 24608 36912 51523 73824 103046 154569 206092 309138 412184 618276 824368 1236552 1648736 2473104 4946208