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45859044 = 223711311601
BaseRepresentation
bin1010111011110…
…0000011100100
310012021212210010
42232330003210
543214442134
64314530220
71064536560
oct256740344
9105255703
1045859044
1123982640
1213436970
13966863a
14613a6a0
15405cce9
hex2bbc0e4

45859044 has 96 divisors (see below), whose sum is σ = 137797632. Its totient is φ = 11520000.

The previous prime is 45859043. The next prime is 45859069. The reversal of 45859044 is 44095854.

45859044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45858993 and 45859011.

It is not an unprimeable number, because it can be changed into a prime (45859043) 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 31 ways as a sum of consecutive naturals, for example, 27844 + ... + 29444.

It is an arithmetic number, because the mean of its divisors is an integer number (1435392).

Almost surely, 245859044 is an apocalyptic number.

45859044 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 45859044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68898816).

45859044 is an abundant number, since it is smaller than the sum of its proper divisors (91938588).

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

45859044 is a wasteful number, since it uses less digits than its factorization.

45859044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 45859044 is about 6771.9305962185. The cubic root of 45859044 is about 357.9384328652.

The spelling of 45859044 in words is "forty-five million, eight hundred fifty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 1601 2046 2387 2604 3202 4092 4774 4803 6404 7161 9548 9606 11207 14322 17611 19212 22414 28644 33621 35222 44828 49631 52833 67242 70444 99262 105666 123277 134484 148893 198524 211332 246554 297786 347417 369831 493108 545941 595572 694834 739662 1042251 1091882 1389668 1479324 1637823 2084502 2183764 3275646 3821587 4169004 6551292 7643174 11464761 15286348 22929522 45859044