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45557538 = 23133183227
BaseRepresentation
bin1010110111001…
…0011100100010
310011201120012020
42231302130202
543130320123
64304242310
71062142545
oct255623442
9104646166
1045557538
1123797064
1213310396
139591330
14609c85c
153eed7e3
hex2b72722

45557538 has 64 divisors (see below), whose sum is σ = 102961152. Its totient is φ = 13343040.

The previous prime is 45557537. The next prime is 45557543. The reversal of 45557538 is 83575554.

45557538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45557538.

It is not an unprimeable number, because it can be changed into a prime (45557537) 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 31 ways as a sum of consecutive naturals, for example, 200581 + ... + 200807.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 245557538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45557538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480576).

45557538 is an abundant number, since it is smaller than the sum of its proper divisors (57403614).

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

45557538 is a wasteful number, since it uses less digits than its factorization.

45557538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359.

The product of its digits is 420000, while the sum is 42.

The square root of 45557538 is about 6749.6324344367. The cubic root of 45557538 is about 357.1522704871.

The spelling of 45557538 in words is "forty-five million, five hundred fifty-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 13 26 31 39 62 78 83 93 166 186 227 249 403 454 498 681 806 1079 1209 1362 2158 2418 2573 2951 3237 5146 5902 6474 7037 7719 8853 14074 15438 17706 18841 21111 33449 37682 42222 56523 66898 91481 100347 113046 182962 200694 244933 274443 489866 548886 584071 734799 1168142 1469598 1752213 3504426 7592923 15185846 22778769 45557538