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45108224 = 210722931
BaseRepresentation
bin1010110000010…
…0110000000000
310010212201211222
42230010300000
543021430344
64250454212
71055261600
oct254046000
9103781758
1045108224
112350a527
1213134368
139464975
145dc2c00
153e605ee
hex2b04c00

45108224 has 132 divisors (see below), whose sum is σ = 112011840. Its totient is φ = 18063360.

The previous prime is 45108199. The next prime is 45108263. The reversal of 45108224 is 42280154.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45108193 and 45108202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455089 + ... + 1455119.

Almost surely, 245108224 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 45108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56005920).

45108224 is an abundant number, since it is smaller than the sum of its proper divisors (66903616).

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

45108224 is a wasteful number, since it uses less digits than its factorization.

45108224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 45108224 is about 6716.2656290531. The cubic root of 45108224 is about 355.9742438127.

Adding to 45108224 its reverse (42280154), we get a palindrome (87388378).

The spelling of 45108224 in words is "forty-five million, one hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 49 56 58 62 64 98 112 116 124 128 196 203 217 224 232 248 256 392 406 434 448 464 496 512 784 812 868 896 899 928 992 1024 1421 1519 1568 1624 1736 1792 1798 1856 1984 2842 3038 3136 3248 3472 3584 3596 3712 3968 5684 6076 6272 6293 6496 6944 7168 7192 7424 7936 11368 12152 12544 12586 12992 13888 14384 14848 15872 22736 24304 25088 25172 25984 27776 28768 29696 31744 44051 45472 48608 50176 50344 51968 55552 57536 88102 90944 97216 100688 103936 111104 115072 176204 181888 194432 201376 207872 222208 230144 352408 363776 388864 402752 460288 704816 727552 777728 805504 920576 1409632 1455104 1555456 1611008 2819264 3222016 5638528 6444032 11277056 22554112 45108224