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45001044 = 223211195981
BaseRepresentation
bin1010101110101…
…0100101010100
310010200021211100
42223222211110
543010013134
64244310100
71054334244
oct253524524
9103607740
1045001044
1123446a50
12130a2330
139427c4a
145d95b24
153e3d999
hex2aea954

45001044 has 72 divisors (see below), whose sum is σ = 130646880. Its totient is φ = 12916800.

The previous prime is 45001039. The next prime is 45001049. The reversal of 45001044 is 44010054.

45001044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45001039) and next prime (45001049).

It is a super-2 number, since 2×450010442 = 4050187922179872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45001049) 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 23 ways as a sum of consecutive naturals, for example, 4534 + ... + 10514.

It is an arithmetic number, because the mean of its divisors is an integer number (1814540).

Almost surely, 245001044 is an apocalyptic number.

45001044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45001044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65323440).

45001044 is an abundant number, since it is smaller than the sum of its proper divisors (85645836).

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

45001044 is a wasteful number, since it uses less digits than its factorization.

45001044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45001044 is about 6708.2817472137. The cubic root of 45001044 is about 355.6920810919.

Adding to 45001044 its reverse (44010054), we get a palindrome (89011098).

It can be divided in two parts, 450010 and 44, that added together give a palindrome (450054).

The spelling of 45001044 in words is "forty-five million, one thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 5981 7524 11962 17943 23924 35886 53829 65791 71772 107658 113639 131582 197373 215316 227278 263164 340917 394746 454556 592119 681834 789492 1022751 1184238 1250029 1363668 2045502 2368476 2500058 3750087 4091004 5000116 7500174 11250261 15000348 22500522 45001044