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45234126 = 2347113353
BaseRepresentation
bin1010110010001…
…1011111001110
310011010010120000
42230203133032
543034443001
64253305130
71056324630
oct254433716
9104103500
1045234126
1123596083
12131951a6
1394aa072
146016a50
153e87a86
hex2b237ce

45234126 has 80 divisors (see below), whose sum is σ = 117193824. Its totient is φ = 12773376.

The previous prime is 45234109. The next prime is 45234131. The reversal of 45234126 is 62143254.

It is a super-2 number, since 2×452341262 = 4092252309967752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 45234126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127966 + ... + 128318.

Almost surely, 245234126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45234126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58596912).

45234126 is an abundant number, since it is smaller than the sum of its proper divisors (71959698).

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

45234126 is a wasteful number, since it uses less digits than its factorization.

45234126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 45234126 is about 6725.6320149113. The cubic root of 45234126 is about 356.3051238800.

It can be divided in two parts, 4523 and 4126, that added together give a square (8649 = 932).

The spelling of 45234126 in words is "forty-five million, two hundred thirty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 113 126 162 189 226 339 353 378 567 678 706 791 1017 1059 1134 1582 2034 2118 2373 2471 3051 3177 4746 4942 6102 6354 7119 7413 9153 9531 14238 14826 18306 19062 21357 22239 28593 39889 42714 44478 57186 64071 66717 79778 119667 128142 133434 200151 239334 279223 359001 400302 558446 718002 837669 1077003 1675338 2154006 2513007 3231009 5026014 6462018 7539021 15078042 22617063 45234126