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45131424 = 2531329243
BaseRepresentation
bin1010110000101…
…0011010100000
310010220220200020
42230022122200
543023201144
64251153440
71055416332
oct254123240
9103826606
1045131424
11235259a8
1213145880
1394723b0
145dcb452
153e67419
hex2b0a6a0

45131424 has 144 divisors (see below), whose sum is σ = 135207072. Its totient is φ = 13095936.

The previous prime is 45131419. The next prime is 45131431. The reversal of 45131424 is 42413154.

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

It is a junction number, because it is equal to n+sod(n) for n = 45131394 and 45131403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049547 + ... + 1049589.

It is an arithmetic number, because the mean of its divisors is an integer number (938938).

Almost surely, 245131424 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 45131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67603536).

45131424 is an abundant number, since it is smaller than the sum of its proper divisors (90075648).

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

45131424 is a wasteful number, since it uses less digits than its factorization.

45131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

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

The square root of 45131424 is about 6717.9925573046. The cubic root of 45131424 is about 356.0352614149.

Adding to 45131424 its reverse (42413154), we get a palindrome (87544578).

The spelling of 45131424 in words is "forty-five million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 43 48 52 58 78 86 87 96 104 116 129 156 172 174 208 232 258 312 344 348 377 416 464 516 559 624 688 696 754 841 928 1032 1118 1131 1247 1248 1376 1392 1508 1677 1682 2064 2236 2262 2494 2523 2784 3016 3354 3364 3741 4128 4472 4524 4988 5046 6032 6708 6728 7482 8944 9048 9976 10092 10933 12064 13416 13456 14964 16211 17888 18096 19952 20184 21866 26832 26912 29928 32422 32799 36163 36192 39904 40368 43732 48633 53664 59856 64844 65598 72326 80736 87464 97266 108489 119712 129688 131196 144652 174928 194532 216978 259376 262392 289304 349856 389064 433956 470119 518752 524784 578608 778128 867912 940238 1049568 1157216 1410357 1556256 1735824 1880476 2820714 3471648 3760952 5641428 7521904 11282856 15043808 22565712 45131424