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4287168 = 2634827
BaseRepresentation
bin10000010110101011000000
322001210220000
4100112223000
52044142133
6231520000
751304014
oct20265300
98053800
104287168
112469016
121529000
13b714b2
147d8544
1559a413
hex416ac0

4287168 has 70 divisors (see below), whose sum is σ = 12723876. Its totient is φ = 1427328.

The previous prime is 4287137. The next prime is 4287181. The reversal of 4287168 is 8617824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4771 + ... + 5597.

Almost surely, 24287168 is an apocalyptic number.

4287168 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 4287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361938).

4287168 is an abundant number, since it is smaller than the sum of its proper divisors (8436708).

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

4287168 is an equidigital number, since it uses as much as digits as its factorization.

4287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 832 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4287168 is about 2070.5477536150. The cubic root of 4287168 is about 162.4514158505.

The spelling of 4287168 in words is "four million, two hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 827 864 1296 1654 1728 2481 2592 3308 4962 5184 6616 7443 9924 13232 14886 19848 22329 26464 29772 39696 44658 52928 59544 66987 79392 89316 119088 133974 158784 178632 238176 267948 357264 476352 535896 714528 1071792 1429056 2143584 4287168