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4928436 = 2232178053
BaseRepresentation
bin10010110011001110110100
3100021101112200
4102303032310
52230202221
6253344500
756614422
oct22631664
910241480
104928436
112866897
121798130
131037346
14924112
15675426
hex4b33b4

4928436 has 36 divisors (see below), whose sum is σ = 13192452. Its totient is φ = 1545984.

The previous prime is 4928389. The next prime is 4928461. The reversal of 4928436 is 6348294.

It is a happy number.

4928436 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 1102500 = 1956^2 + 1050^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 46 + 94 + 217 + 87 + 410 + 313 + 66 .

It is a self number, because there is not a number n which added to its sum of digits gives 4928436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3415 + ... + 4638.

It is an arithmetic number, because the mean of its divisors is an integer number (366457).

Almost surely, 24928436 is an apocalyptic number.

It is an amenable number.

4928436 is an abundant number, since it is smaller than the sum of its proper divisors (8264016).

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

4928436 is a wasteful number, since it uses less digits than its factorization.

4928436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8075 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4928436 is about 2220.0081080933. The cubic root of 4928436 is about 170.1778530819.

Subtracting from 4928436 its sum of digits (36), we obtain a square (4928400 = 22202).

It can be divided in two parts, 49284 and 36, that multiplied together give a square (1774224 = 13322).

The spelling of 4928436 in words is "four million, nine hundred twenty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 8053 16106 24159 32212 48318 72477 96636 136901 144954 273802 289908 410703 547604 821406 1232109 1642812 2464218 4928436