Search a number
-
+
45033054 = 231135639
BaseRepresentation
bin1010101111001…
…0011001011110
310010201220201220
42223302121132
543012024204
64245114210
71054526463
oct253623136
9103656656
1045033054
1123469000
12130b8966
1394396a1
145da366a
153e481d9
hex2af265e

45033054 has 32 divisors (see below), whose sum is σ = 99083520. Its totient is φ = 13643960.

The previous prime is 45033031. The next prime is 45033071.

It is a happy number.

45033054 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5167 + ... + 10805.

It is an arithmetic number, because the mean of its divisors is an integer number (3096360).

Almost surely, 245033054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45033054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49541760).

45033054 is an abundant number, since it is smaller than the sum of its proper divisors (54050466).

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

45033054 is a wasteful number, since it uses less digits than its factorization.

45033054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 45033054 is about 6710.6671799457. The cubic root of 45033054 is about 355.7763976911.

It can be divided in two parts, 4503 and 3054, that added together give a palindrome (7557).

The spelling of 45033054 in words is "forty-five million, thirty-three thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 5639 7986 11278 16917 33834 62029 124058 186087 372174 682319 1364638 2046957 4093914 7505509 15011018 22516527 45033054