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45381804 = 223131961251
BaseRepresentation
bin1010110100011…
…1100010101100
310011101122010120
42231013202230
543104204204
64300404540
71060511316
oct255074254
9104348116
1045381804
1123687026
1213246750
13952c350
1460547b6
153eb66d9
hex2b478ac

45381804 has 96 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 12960000.

The previous prime is 45381773. The next prime is 45381811. The reversal of 45381804 is 40818354.

45381804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 180679 + ... + 180929.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 245381804 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 45381804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

45381804 is an abundant number, since it is smaller than the sum of its proper divisors (77110356).

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

45381804 is a wasteful number, since it uses less digits than its factorization.

45381804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 45381804 is about 6736.6018139712. The cubic root of 45381804 is about 356.6924514312.

The spelling of 45381804 in words is "forty-five million, three hundred eighty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 61 76 78 114 122 156 183 228 244 247 251 366 494 502 732 741 753 793 988 1004 1159 1482 1506 1586 2318 2379 2964 3012 3172 3263 3477 4636 4758 4769 6526 6954 9516 9538 9789 13052 13908 14307 15067 15311 19076 19578 28614 30134 30622 39156 45201 45933 57228 60268 61244 61997 90402 91866 123994 180804 183732 185991 199043 247988 290909 371982 398086 581818 597129 743964 796172 872727 1163636 1194258 1745454 2388516 3490908 3781817 7563634 11345451 15127268 22690902 45381804