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4274816 = 27713367
BaseRepresentation
bin10000010011101010000000
322001011221112
4100103222000
52043243231
6231342452
751223010
oct20235200
98034845
104274816
11245a807
121521a28
13b689a0
147d3c40
1559692b
hex413a80

4274816 has 64 divisors (see below), whose sum is σ = 10510080. Its totient is φ = 1686528.

The previous prime is 4274813. The next prime is 4274827. The reversal of 4274816 is 6184724.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11465 + ... + 11831.

It is an arithmetic number, because the mean of its divisors is an integer number (164220).

Almost surely, 24274816 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 4274816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255040).

4274816 is an abundant number, since it is smaller than the sum of its proper divisors (6235264).

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

4274816 is a wasteful number, since it uses less digits than its factorization.

4274816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 4274816 is about 2067.5628164581. The cubic root of 4274816 is about 162.2952498152.

The spelling of 4274816 in words is "four million, two hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 367 416 448 728 734 832 896 1456 1468 1664 2569 2912 2936 4771 5138 5824 5872 9542 10276 11648 11744 19084 20552 23488 33397 38168 41104 46976 66794 76336 82208 133588 152672 164416 267176 305344 328832 534352 610688 1068704 2137408 4274816