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45000522 = 234725669
BaseRepresentation
bin1010101110101…
…0011101001010
310010200021010000
42223222131022
543010004042
64244303430
71054332600
oct253523512
9103607100
1045000522
1123446616
12130a1b76
139427938
145d95870
153e3d74c
hex2aea74a

45000522 has 60 divisors (see below), whose sum is σ = 117317970. Its totient is φ = 12855024.

The previous prime is 45000521. The next prime is 45000563. The reversal of 45000522 is 22500054.

It can be written as a sum of positive squares in only one way, i.e., 42107121 + 2893401 = 6489^2 + 1701^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 45000495 and 45000504.

It is not an unprimeable number, because it can be changed into a prime (45000521) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5104 + ... + 10772.

Almost surely, 245000522 is an apocalyptic number.

45000522 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45000522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58658985).

45000522 is an abundant number, since it is smaller than the sum of its proper divisors (72317448).

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

45000522 is a wasteful number, since it uses less digits than its factorization.

45000522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5697 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45000522 is about 6708.2428399693. The cubic root of 45000522 is about 355.6907057758.

Adding to 45000522 its reverse (22500054), we get a palindrome (67500576).

It can be divided in two parts, 4500052 and 2, that added together give a palindrome (4500054).

The spelling of 45000522 in words is "forty-five million, five hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 5669 7938 11338 17007 34014 39683 51021 79366 102042 119049 153063 238098 277781 306126 357147 459189 555562 714294 833343 918378 1071441 1666686 2142882 2500029 3214323 5000058 6428646 7500087 15000174 22500261 45000522