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45054834 = 23112229271
BaseRepresentation
bin1010101111011…
…1101101110010
310010210000121120
42223313231302
543013223314
64245403110
71054650126
oct253675562
9103700546
1045054834
1123483400
1213109496
139446586
145dab586
153e4e8a9
hex2af7b72

45054834 has 48 divisors (see below), whose sum is σ = 99845760. Its totient is φ = 13543200.

The previous prime is 45054829. The next prime is 45054839. The reversal of 45054834 is 43845054.

It is an interprime number because it is at equal distance from previous prime (45054829) and next prime (45054839).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 45054795 and 45054804.

It is not an unprimeable number, because it can be changed into a prime (45054839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166119 + ... + 166389.

It is an arithmetic number, because the mean of its divisors is an integer number (2080120).

Almost surely, 245054834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45054834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49922880).

45054834 is an abundant number, since it is smaller than the sum of its proper divisors (54790926).

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

45054834 is a wasteful number, since it uses less digits than its factorization.

45054834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 45054834 is about 6712.2897732443. The cubic root of 45054834 is about 355.8337449088.

Adding to 45054834 its reverse (43845054), we get a palindrome (88899888).

It can be divided in two parts, 4505 and 4834, that added together give a palindrome (9339).

The spelling of 45054834 in words is "forty-five million, fifty-four thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 229 242 271 363 458 542 687 726 813 1374 1626 2519 2981 5038 5962 7557 8943 15114 17886 27709 32791 55418 62059 65582 83127 98373 124118 166254 186177 196746 372354 682649 1365298 2047947 4095894 7509139 15018278 22527417 45054834