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45406580 = 225193331
BaseRepresentation
bin1010110100110…
…1100101110100
310011102220010012
42231031211310
543111002310
64301115352
71060643462
oct255154564
9104386105
1045406580
11236a36aa
1213258b58
13953a6cb
14605d832
153ebdc05
hex2b4d974

45406580 has 48 divisors (see below), whose sum is σ = 100954560. Its totient is φ = 17154720.

The previous prime is 45406579. The next prime is 45406589. The reversal of 45406580 is 8560454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45406589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137015 + ... + 137345.

It is an arithmetic number, because the mean of its divisors is an integer number (2103220).

Almost surely, 245406580 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 45406580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50477280).

45406580 is an abundant number, since it is smaller than the sum of its proper divisors (55547980).

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

45406580 is a wasteful number, since it uses less digits than its factorization.

45406580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 45406580 is about 6738.4404723942. The cubic root of 45406580 is about 356.7573511901.

The spelling of 45406580 in words is "forty-five million, four hundred six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 331 361 380 662 722 1324 1444 1655 1805 3310 3610 6289 6620 6859 7220 12578 13718 25156 27436 31445 34295 62890 68590 119491 125780 137180 238982 477964 597455 1194910 2270329 2389820 4540658 9081316 11351645 22703290 45406580