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4904820 = 2233531293
BaseRepresentation
bin10010101101011101110100
3100020012011000
4102231131310
52223423240
6253043300
756455524
oct22553564
910205130
104904820
112850078
121786530
13102967b
14919684
1566d430
hex4ad774

4904820 has 96 divisors (see below), whose sum is σ = 15805440. Its totient is φ = 1261440.

The previous prime is 4904813. The next prime is 4904821. The reversal of 4904820 is 284094.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4904821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16594 + ... + 16886.

It is an arithmetic number, because the mean of its divisors is an integer number (164640).

Almost surely, 24904820 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 4904820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902720).

4904820 is an abundant number, since it is smaller than the sum of its proper divisors (10900620).

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

4904820 is a wasteful number, since it uses less digits than its factorization.

4904820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4904820 is about 2214.6828215345. The cubic root of 4904820 is about 169.9055992616.

The spelling of 4904820 in words is "four million, nine hundred four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 293 310 372 465 540 558 586 620 837 879 930 1116 1172 1395 1465 1674 1758 1860 2637 2790 2930 3348 3516 4185 4395 5274 5580 5860 7911 8370 8790 9083 10548 13185 15822 16740 17580 18166 26370 27249 31644 36332 39555 45415 52740 54498 79110 81747 90830 108996 136245 158220 163494 181660 245241 272490 326988 408735 490482 544980 817470 980964 1226205 1634940 2452410 4904820