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2427168 = 253131193
BaseRepresentation
bin1001010000100100100000
311120022110010
421100210200
51110132133
6124004520
726426202
oct11204440
94508403
102427168
111408627
12990740
1366c9c3
14472772
1532e263
hex250920

2427168 has 48 divisors (see below), whose sum is σ = 6453216. Its totient is φ = 798720.

The previous prime is 2427157. The next prime is 2427179. The reversal of 2427168 is 8617242.

It is an interprime number because it is at equal distance from previous prime (2427157) and next prime (2427179).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×24271682 = 11782289000448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12480 + ... + 12672.

It is an arithmetic number, because the mean of its divisors is an integer number (134442).

22427168 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 2427168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226608).

2427168 is an abundant number, since it is smaller than the sum of its proper divisors (4026048).

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

2427168 is a wasteful number, since it uses less digits than its factorization.

2427168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2427168 is about 1557.9370975749. The cubic root of 2427168 is about 134.3898943649.

The spelling of 2427168 in words is "two million, four hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 193 262 386 393 524 579 772 786 1048 1158 1544 1572 2096 2316 3088 3144 4192 4632 6176 6288 9264 12576 18528 25283 50566 75849 101132 151698 202264 303396 404528 606792 809056 1213584 2427168