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45103488 = 273731609
BaseRepresentation
bin1010110000001…
…1100110000000
310010212111100120
42230003212000
543021302423
64250420240
71055242023
oct254034600
9103774316
1045103488
1123506a11
1213131680
139462771
145dc11ba
153e5dee3
hex2b03980

45103488 has 64 divisors (see below), whose sum is σ = 121522800. Its totient is φ = 14819328.

The previous prime is 45103453. The next prime is 45103489. The reversal of 45103488 is 88430154.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×451034882 = 4068649259532288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45103489) 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, 27228 + ... + 28836.

Almost surely, 245103488 is an apocalyptic number.

45103488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45103488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60761400).

45103488 is an abundant number, since it is smaller than the sum of its proper divisors (76419312).

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

45103488 is a wasteful number, since it uses less digits than its factorization.

45103488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 45103488 is about 6715.9130429153. The cubic root of 45103488 is about 355.9617852344.

The spelling of 45103488 in words is "forty-five million, one hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 438 584 876 1168 1609 1752 2336 3218 3504 4672 4827 6436 7008 9344 9654 12872 14016 19308 25744 28032 38616 51488 77232 102976 117457 154464 205952 234914 308928 352371 469828 617856 704742 939656 1409484 1879312 2818968 3758624 5637936 7517248 11275872 15034496 22551744 45103488