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4946256 = 243272701
BaseRepresentation
bin10010110111100101010000
3100022021222200
4102313211100
52231240011
6254003200
760020400
oct22674520
910267880
104946256
112879217
1217a6500
1310424a3
1492a800
1567a856
hex4b7950

4946256 has 90 divisors (see below), whose sum is σ = 16125642. Its totient is φ = 1411200.

The previous prime is 4946237. The next prime is 4946257. The reversal of 4946256 is 6526494.

It can be written as a sum of positive squares in only one way, i.e., 4769856 + 176400 = 2184^2 + 420^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4946256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4946257) 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 17 ways as a sum of consecutive naturals, for example, 6706 + ... + 7406.

Almost surely, 24946256 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 4946256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062821).

4946256 is an abundant number, since it is smaller than the sum of its proper divisors (11179386).

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

4946256 is a wasteful number, since it uses less digits than its factorization.

4946256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 713 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 4946256 is about 2224.0179855388. The cubic root of 4946256 is about 170.3827133161.

The spelling of 4946256 in words is "four million, nine hundred forty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 701 784 882 1008 1176 1402 1764 2103 2352 2804 3528 4206 4907 5608 6309 7056 8412 9814 11216 12618 14721 16824 19628 25236 29442 33648 34349 39256 44163 50472 58884 68698 78512 88326 100944 103047 117768 137396 176652 206094 235536 274792 309141 353304 412188 549584 618282 706608 824376 1236564 1648752 2473128 4946256