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45209970 = 232513172273
BaseRepresentation
bin1010110001110…
…1100101110010
310011001220102100
42230131211302
543033204340
64253001230
71056164331
oct254354562
9104056370
1045209970
1123579a13
1213183216
13949c080
14600bd18
153e80830
hex2b1d972

45209970 has 96 divisors (see below), whose sum is σ = 134093232. Its totient is φ = 10469376.

The previous prime is 45209959. The next prime is 45209971. The reversal of 45209970 is 7990254.

It can be written as a sum of positive squares in 8 ways, for example, as 27342441 + 17867529 = 5229^2 + 4227^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45209971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18754 + ... + 21026.

Almost surely, 245209970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45209970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67046616).

45209970 is an abundant number, since it is smaller than the sum of its proper divisors (88883262).

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

45209970 is a wasteful number, since it uses less digits than its factorization.

45209970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 45209970 is about 6723.8359587366. The cubic root of 45209970 is about 356.2416877100.

The spelling of 45209970 in words is "forty-five million, two hundred nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 2273 3315 3978 4546 6630 6819 9945 11365 13638 19890 20457 22730 29549 34095 38641 40914 59098 68190 77282 88647 102285 115923 147745 177294 193205 204570 231846 265941 295490 347769 386410 443235 502333 531882 579615 695538 886470 1004666 1159230 1329705 1506999 1738845 2511665 2659410 3013998 3477690 4520997 5023330 7534995 9041994 15069990 22604985 45209970