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4906224 = 243341277
BaseRepresentation
bin10010101101110011110000
3100020021002000
4102231303300
52223444344
6253054000
756462601
oct22556360
910207060
104906224
112851134
121787300
13102a1bb
14919da8
1566da69
hex4adcf0

4906224 has 80 divisors (see below), whose sum is σ = 14478240. Its totient is φ = 1589760.

The previous prime is 4906207. The next prime is 4906229. The reversal of 4906224 is 4226094.

It is a Cunningham number, because it is equal to 22152-1.

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 (4906229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17574 + ... + 17850.

It is an arithmetic number, because the mean of its divisors is an integer number (180978).

Almost surely, 24906224 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 4906224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239120).

4906224 is an abundant number, since it is smaller than the sum of its proper divisors (9572016).

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

4906224 is a wasteful number, since it uses less digits than its factorization.

4906224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4906224 is about 2214.9997742664. Note that the first 3 decimals coincide. The cubic root of 4906224 is about 169.9218094863.

The spelling of 4906224 in words is "four million, nine hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 277 328 369 432 492 554 656 738 831 984 1107 1108 1476 1662 1968 2214 2216 2493 2952 3324 4428 4432 4986 5904 6648 7479 8856 9972 11357 13296 14958 17712 19944 22714 29916 34071 39888 45428 59832 68142 90856 102213 119664 136284 181712 204426 272568 306639 408852 545136 613278 817704 1226556 1635408 2453112 4906224