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45911052 = 223211191607
BaseRepresentation
bin1010111100100…
…0110000001100
310012101112010100
42233020300030
543223123202
64320011100
71065144315
oct257106014
9105345110
1045911052
1123a08720
1213460a90
139686205
14615160c
15406d41c
hex2bc8c0c

45911052 has 72 divisors (see below), whose sum is σ = 127475712. Its totient is φ = 13816800.

The previous prime is 45911023. The next prime is 45911053. The reversal of 45911052 is 25011954.

It is a super-3 number, since 3×459110523 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45911053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75333 + ... + 75939.

It is an arithmetic number, because the mean of its divisors is an integer number (1770496).

Almost surely, 245911052 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 45911052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63737856).

45911052 is an abundant number, since it is smaller than the sum of its proper divisors (81564660).

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

45911052 is a wasteful number, since it uses less digits than its factorization.

45911052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 45911052 is about 6775.7694765982. The cubic root of 45911052 is about 358.0736924752.

It can be divided in two parts, 459 and 11052, that added together give a palindrome (11511).

The spelling of 45911052 in words is "forty-five million, nine hundred eleven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 191 198 382 396 573 607 764 1146 1214 1719 1821 2101 2292 2428 3438 3642 4202 5463 6303 6677 6876 7284 8404 10926 12606 13354 18909 20031 21852 25212 26708 37818 40062 60093 75636 80124 115937 120186 231874 240372 347811 463748 695622 1043433 1275307 1391244 2086866 2550614 3825921 4173732 5101228 7651842 11477763 15303684 22955526 45911052