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45822084 = 223711101491
BaseRepresentation
bin1010111011001…
…1000010000100
310012020000002020
42232303002010
543212301314
64314043140
71064324040
oct256630204
9105200066
1045822084
11239578a0
12134194b0
139654879
14612b020
154051da9
hex2bb3084

45822084 has 96 divisors (see below), whose sum is σ = 134894592. Its totient is φ = 11760000.

The previous prime is 45822079. The next prime is 45822107. The reversal of 45822084 is 48022854.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 93079 + ... + 93569.

It is an arithmetic number, because the mean of its divisors is an integer number (1405152).

Almost surely, 245822084 is an apocalyptic number.

45822084 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 45822084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67447296).

45822084 is an abundant number, since it is smaller than the sum of its proper divisors (89072508).

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

45822084 is a wasteful number, since it uses less digits than its factorization.

45822084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 45822084 is about 6769.2011345505. The cubic root of 45822084 is about 357.8422471115.

It can be divided in two parts, 4582 and 2084, that added together give a palindrome (6666).

The spelling of 45822084 in words is "forty-five million, eight hundred twenty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 491 606 707 924 982 1111 1212 1414 1473 1964 2121 2222 2828 2946 3333 3437 4242 4444 5401 5892 6666 6874 7777 8484 10311 10802 13332 13748 15554 16203 20622 21604 23331 31108 32406 37807 41244 46662 49591 64812 75614 93324 99182 113421 148773 151228 198364 226842 297546 347137 453684 545501 595092 694274 1041411 1091002 1388548 1636503 2082822 2182004 3273006 3818507 4165644 6546012 7637014 11455521 15274028 22911042 45822084