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4936820 = 2257179197
BaseRepresentation
bin10010110101010001110100
3100021211001012
4102311101310
52230434240
6253451352
756651030
oct22652164
910254035
104936820
112872119
1217a0b58
13103b0c5
149271c0
15677b65
hex4b5474

4936820 has 48 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 1674624.

The previous prime is 4936819. The next prime is 4936823. The reversal of 4936820 is 286394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4936823) 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 15 ways as a sum of consecutive naturals, for example, 24962 + ... + 25158.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 24936820 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 4936820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

4936820 is an abundant number, since it is smaller than the sum of its proper divisors (7038220).

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

4936820 is a wasteful number, since it uses less digits than its factorization.

4936820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 4936820 is about 2221.8955871057. The cubic root of 4936820 is about 170.2742976628.

The spelling of 4936820 in words is "four million, nine hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 197 358 394 716 788 895 985 1253 1379 1790 1970 2506 2758 3580 3940 5012 5516 6265 6895 12530 13790 25060 27580 35263 70526 141052 176315 246841 352630 493682 705260 987364 1234205 2468410 4936820