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45867052 = 227111371087
BaseRepresentation
bin1010111011111…
…0000000101100
310012022021202201
42232332000230
543220221202
64315031244
71064602120
oct256760054
9105267681
1045867052
1123988660
121343b524
13966c18a
14613d580
154060387
hex2bbe02c

45867052 has 48 divisors (see below), whose sum is σ = 100896768. Its totient is φ = 17723520.

The previous prime is 45867023. The next prime is 45867053. The reversal of 45867052 is 25076854.

It is a happy number.

45867052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45867053) 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 15 ways as a sum of consecutive naturals, for example, 41653 + ... + 42739.

It is an arithmetic number, because the mean of its divisors is an integer number (2102016).

Almost surely, 245867052 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 45867052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50448384).

45867052 is an abundant number, since it is smaller than the sum of its proper divisors (55029716).

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

45867052 is a wasteful number, since it uses less digits than its factorization.

45867052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 45867052 is about 6772.5218345901. The cubic root of 45867052 is about 357.9592662996.

The spelling of 45867052 in words is "forty-five million, eight hundred sixty-seven thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 137 154 274 308 548 959 1087 1507 1918 2174 3014 3836 4348 6028 7609 10549 11957 15218 21098 23914 30436 42196 47828 83699 148919 167398 297838 334796 595676 1042433 1638109 2084866 3276218 4169732 6552436 11466763 22933526 45867052