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2425936 = 24316773
BaseRepresentation
bin1001010000010001010000
311120020202111
421100101100
51110112221
6123555104
726422462
oct11202120
94506674
102425936
111407707
1298ba94
1366c286
14472132
1532dbe1
hex250450

2425936 has 40 divisors (see below), whose sum is σ = 4991744. Its totient is φ = 1140480.

The previous prime is 2425933. The next prime is 2425957. The reversal of 2425936 is 6395242.

2425936 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 2425898 and 2425907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33196 + ... + 33268.

22425936 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 2425936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495872).

2425936 is an abundant number, since it is smaller than the sum of its proper divisors (2565808).

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

2425936 is a wasteful number, since it uses less digits than its factorization.

2425936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 2425936 is about 1557.5416527336. The cubic root of 2425936 is about 134.3671523090.

The spelling of 2425936 in words is "two million, four hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 67 73 124 134 146 248 268 292 496 536 584 1072 1168 2077 2263 4154 4526 4891 8308 9052 9782 16616 18104 19564 33232 36208 39128 78256 151621 303242 606484 1212968 2425936