[go: up one dir, main page]

Search a number
-
+
45027424 = 2513176367
BaseRepresentation
bin1010101111000…
…1000001100000
310010201122000101
42223301001200
543011334144
64245032144
71054504201
oct253610140
9103648011
1045027424
1123464852
12130b5654
139436c60
145da15a8
153e466d4
hex2af1060

45027424 has 48 divisors (see below), whose sum is σ = 101098368. Its totient is φ = 19556352.

The previous prime is 45027421. The next prime is 45027427. The reversal of 45027424 is 42472054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45027421) and next prime (45027427).

It is a junction number, because it is equal to n+sod(n) for n = 45027392 and 45027401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45027421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3889 + ... + 10255.

It is an arithmetic number, because the mean of its divisors is an integer number (2106216).

Almost surely, 245027424 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 45027424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50549184).

45027424 is an abundant number, since it is smaller than the sum of its proper divisors (56070944).

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

45027424 is a wasteful number, since it uses less digits than its factorization.

45027424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 45027424 is about 6710.2476854435. The cubic root of 45027424 is about 355.7615707701.

Adding to 45027424 its reverse (42472054), we get a palindrome (87499478).

It can be divided in two parts, 45027 and 424, that added together give a triangular number (45451 = T301).

The spelling of 45027424 in words is "forty-five million, twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 6367 7072 12734 25468 50936 82771 101872 108239 165542 203744 216478 331084 432956 662168 865912 1324336 1407107 1731824 2648672 2814214 3463648 5628428 11256856 22513712 45027424