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4274496 = 263241181
BaseRepresentation
bin10000010011100101000000
322001011111200
4100103211000
52043240441
6231341200
751222042
oct20234500
98034450
104274496
11245a546
121521800
13b687b5
147d3a92
155967b6
hex413940

4274496 has 84 divisors (see below), whose sum is σ = 12620244. Its totient is φ = 1382400.

The previous prime is 4274489. The next prime is 4274521. The reversal of 4274496 is 6944724.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 4161600 = 336^2 + 2040^2 .

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 44 + 23 + 75 + 47 + 411 + 92 + 66 .

It is a self number, because there is not a number n which added to its sum of digits gives 4274496.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23526 + ... + 23706.

It is an arithmetic number, because the mean of its divisors is an integer number (150241).

Almost surely, 24274496 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 4274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310122).

4274496 is an abundant number, since it is smaller than the sum of its proper divisors (8345748).

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

4274496 is a wasteful number, since it uses less digits than its factorization.

4274496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4274496 is about 2067.4854292111. The cubic root of 4274496 is about 162.2912000677.

The spelling of 4274496 in words is "four million, two hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 181 192 246 288 328 362 369 492 543 576 656 724 738 984 1086 1312 1448 1476 1629 1968 2172 2624 2896 2952 3258 3936 4344 5792 5904 6516 7421 7872 8688 11584 11808 13032 14842 17376 22263 23616 26064 29684 34752 44526 52128 59368 66789 89052 104256 118736 133578 178104 237472 267156 356208 474944 534312 712416 1068624 1424832 2137248 4274496