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45895136 = 257331619
BaseRepresentation
bin1010111100010…
…0110111100000
310012100201021212
42233010313200
543222121021
64315405252
71065050030
oct257046740
9105321255
1045895136
11239a7771
1213453828
13967bbb1
1461498c0
15406885b
hex2bc4de0

45895136 has 48 divisors (see below), whose sum is σ = 103743360. Its totient is φ = 19578240.

The previous prime is 45895123. The next prime is 45895141. The reversal of 45895136 is 63159854.

45895136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45895093 and 45895102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73835 + ... + 74453.

It is an arithmetic number, because the mean of its divisors is an integer number (2161320).

Almost surely, 245895136 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 45895136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51871680).

45895136 is an abundant number, since it is smaller than the sum of its proper divisors (57848224).

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

45895136 is a wasteful number, since it uses less digits than its factorization.

45895136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 959 counting only the distinct ones).

The product of its digits is 129600, while the sum is 41.

The square root of 45895136 is about 6774.5948956377. The cubic root of 45895136 is about 358.0323098499.

The spelling of 45895136 in words is "forty-five million, eight hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 331 619 662 1238 1324 2317 2476 2648 4333 4634 4952 5296 8666 9268 9904 10592 17332 18536 19808 34664 37072 69328 74144 138656 204889 409778 819556 1434223 1639112 2868446 3278224 5736892 6556448 11473784 22947568 45895136