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45114432 = 2631141521
BaseRepresentation
bin1010110000011…
…0010001000000
310010220001100220
42230012101000
543022130212
64250543040
71055315646
oct254062100
9103801326
1045114432
1123514160
1213137a80
13946773c
145dc5196
153e6238c
hex2b06440

45114432 has 112 divisors (see below), whose sum is σ = 133648704. Its totient is φ = 13312000.

The previous prime is 45114427. The next prime is 45114437. The reversal of 45114432 is 23441154.

It is an interprime number because it is at equal distance from previous prime (45114427) and next prime (45114437).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (45114437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86332 + ... + 86852.

It is an arithmetic number, because the mean of its divisors is an integer number (1193292).

Almost surely, 245114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66824352).

45114432 is an abundant number, since it is smaller than the sum of its proper divisors (88534272).

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

45114432 is a wasteful number, since it uses less digits than its factorization.

45114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 45114432 is about 6716.7277747427. The cubic root of 45114432 is about 355.9905733312.

Adding to 45114432 its reverse (23441154), we get a palindrome (68555586).

The spelling of 45114432 in words is "forty-five million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 132 164 176 192 246 264 328 352 451 492 521 528 656 704 902 984 1042 1056 1312 1353 1563 1804 1968 2084 2112 2624 2706 3126 3608 3936 4168 5412 5731 6252 7216 7872 8336 10824 11462 12504 14432 16672 17193 21361 21648 22924 25008 28864 33344 34386 42722 43296 45848 50016 64083 68772 85444 86592 91696 100032 128166 137544 170888 183392 234971 256332 275088 341776 366784 469942 512664 550176 683552 704913 939884 1025328 1100352 1367104 1409826 1879768 2050656 2819652 3759536 4101312 5639304 7519072 11278608 15038144 22557216 45114432