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4275648 = 263213571
BaseRepresentation
bin10000010011110111000000
322001020002100
4100103313000
52043310043
6231350400
751225306
oct20236700
98036070
104275648
1124603a3
121522400
13b69190
147d4276
15596cd3
hex413dc0

4275648 has 84 divisors (see below), whose sum is σ = 13221208. Its totient is φ = 1313280.

The previous prime is 4275643. The next prime is 4275679. The reversal of 4275648 is 8465724.

4275648 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 648 = 666.

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 43 + 222 + 72 + 56 + 6 + 48 + 82 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4275641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7203 + ... + 7773.

Almost surely, 24275648 is an apocalyptic number.

4275648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610604).

4275648 is an abundant number, since it is smaller than the sum of its proper divisors (8945560).

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

4275648 is a wasteful number, since it uses less digits than its factorization.

4275648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4275648 is about 2067.7640097458. The cubic root of 4275648 is about 162.3057782129.

The spelling of 4275648 in words is "four million, two hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 571 576 624 832 936 1142 1248 1713 1872 2284 2496 3426 3744 4568 5139 6852 7423 7488 9136 10278 13704 14846 18272 20556 22269 27408 29692 36544 41112 44538 54816 59384 66807 82224 89076 109632 118768 133614 164448 178152 237536 267228 328896 356304 475072 534456 712608 1068912 1425216 2137824 4275648