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45225780 = 223517101439
BaseRepresentation
bin1010110010000…
…1011100110100
310011002201002220
42230201130310
543034211110
64253202340
71056261405
oct254413464
9104081086
1045225780
112358a886
12131903b0
1394a6322
1460139ac
153e85370
hex2b21734

45225780 has 96 divisors (see below), whose sum is σ = 135717120. Its totient is φ = 11212800.

The previous prime is 45225769. The next prime is 45225781. The reversal of 45225780 is 8752254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45225781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102801 + ... + 103239.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 245225780 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 45225780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67858560).

45225780 is an abundant number, since it is smaller than the sum of its proper divisors (90491340).

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

45225780 is a wasteful number, since it uses less digits than its factorization.

45225780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 45225780 is about 6725.0115241537. The cubic root of 45225780 is about 356.2832089695.

The spelling of 45225780 in words is "forty-five million, two hundred twenty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 101 102 170 202 204 255 303 340 404 439 505 510 606 878 1010 1020 1212 1317 1515 1717 1756 2020 2195 2634 3030 3434 4390 5151 5268 6060 6585 6868 7463 8585 8780 10302 13170 14926 17170 20604 22389 25755 26340 29852 34340 37315 44339 44778 51510 74630 88678 89556 103020 111945 133017 149260 177356 221695 223890 266034 443390 447780 532068 665085 753763 886780 1330170 1507526 2261289 2660340 3015052 3768815 4522578 7537630 9045156 11306445 15075260 22612890 45225780