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45661792 = 2511731777
BaseRepresentation
bin1010111000101…
…1111001100000
310011220212012111
42232023321200
543142134132
64310405104
71063055521
oct256137140
9104825174
1045661792
1123858420
1213360794
1395c9917
1460c8848
15401e647
hex2b8be60

45661792 has 48 divisors (see below), whose sum is σ = 99468432. Its totient is φ = 20459520.

The previous prime is 45661789. The next prime is 45661799. The reversal of 45661792 is 29716654.

45661792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45661799) by changing a digit.

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, 24808 + ... + 26584.

It is an arithmetic number, because the mean of its divisors is an integer number (2072259).

Almost surely, 245661792 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 45661792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49734216).

45661792 is an abundant number, since it is smaller than the sum of its proper divisors (53806640).

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

45661792 is a wasteful number, since it uses less digits than its factorization.

45661792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 45661792 is about 6757.3509602506. The cubic root of 45661792 is about 357.4244990282.

The spelling of 45661792 in words is "forty-five million, six hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 584 803 1168 1606 1777 2336 3212 3554 6424 7108 12848 14216 19547 25696 28432 39094 56864 78188 129721 156376 259442 312752 518884 625504 1037768 1426931 2075536 2853862 4151072 5707724 11415448 22830896 45661792