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4936256 = 261317349
BaseRepresentation
bin10010110101001001000000
3100021210021022
4102311021000
52230430011
6253445012
756646263
oct22651100
910253238
104936256
112871756
1217a0768
13103aa80
14926cda
156778db
hex4b5240

4936256 has 56 divisors (see below), whose sum is σ = 11201400. Its totient is φ = 2138112.

The previous prime is 4936249. The next prime is 4936279. The reversal of 4936256 is 6526394.

4936256 = T91 + T92 + ... + T311.

It can be written as a sum of positive squares in 4 ways, for example, as 1000000 + 3936256 = 1000^2 + 1984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13970 + ... + 14318.

It is an arithmetic number, because the mean of its divisors is an integer number (200025).

Almost surely, 24936256 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 4936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600700).

4936256 is an abundant number, since it is smaller than the sum of its proper divisors (6265144).

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

4936256 is a wasteful number, since it uses less digits than its factorization.

4936256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 4936256 is about 2221.7686648254. The cubic root of 4936256 is about 170.2678131673.

The spelling of 4936256 in words is "four million, nine hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 349 416 442 544 698 832 884 1088 1396 1768 2792 3536 4537 5584 5933 7072 9074 11168 11866 14144 18148 22336 23732 36296 47464 72592 77129 94928 145184 154258 189856 290368 308516 379712 617032 1234064 2468128 4936256