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4282368 = 21131741
BaseRepresentation
bin10000010101100000000000
322001120022020
4100111200000
52044013433
6231441440
751254016
oct20254000
98046266
104282368
112465452
121526280
13b6c25c
147d68b6
15598cb3
hex415800

4282368 has 96 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1310720.

The previous prime is 4282367. The next prime is 4282373. The reversal of 4282368 is 8632824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104428 + ... + 104468.

Almost surely, 24282368 is an apocalyptic number.

4282368 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 4282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

4282368 is an abundant number, since it is smaller than the sum of its proper divisors (8100912).

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

4282368 is a wasteful number, since it uses less digits than its factorization.

4282368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 4282368 is about 2069.3883154208. The cubic root of 4282368 is about 162.3907652461.

The spelling of 4282368 in words is "four million, two hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 128 136 164 192 204 246 256 272 328 384 408 492 512 544 656 697 768 816 984 1024 1088 1312 1394 1536 1632 1968 2048 2091 2176 2624 2788 3072 3264 3936 4182 4352 5248 5576 6144 6528 7872 8364 8704 10496 11152 13056 15744 16728 17408 20992 22304 26112 31488 33456 34816 41984 44608 52224 62976 66912 83968 89216 104448 125952 133824 178432 251904 267648 356864 535296 713728 1070592 1427456 2141184 4282368