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2427464 = 2313171373
BaseRepresentation
bin1001010000101001001000
311120022212002
421100221020
51110134324
6124010132
726430104
oct11205110
94508762
102427464
111408876
12990948
1366cb90
14472904
1532e3ae
hex250a48

2427464 has 32 divisors (see below), whose sum is σ = 5193720. Its totient is φ = 1053696.

The previous prime is 2427463. The next prime is 2427473. The reversal of 2427464 is 4647242.

It can be written as a sum of positive squares in 4 ways, for example, as 2402500 + 24964 = 1550^2 + 158^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2427461) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1082 + ... + 2454.

22427464 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 2427464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596860).

2427464 is an abundant number, since it is smaller than the sum of its proper divisors (2766256).

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

2427464 is a wasteful number, since it uses less digits than its factorization.

2427464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1405 counting only the distinct ones).

The product of its digits is 10752, while the sum is 29.

The square root of 2427464 is about 1558.0320920957. The cubic root of 2427464 is about 134.3953572187.

The spelling of 2427464 in words is "two million, four hundred twenty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1373 1768 2746 5492 10984 17849 23341 35698 46682 71396 93364 142792 186728 303433 606866 1213732 2427464