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45229980 = 22354347373
BaseRepresentation
bin1010110010001…
…0011110011100
310011002220212110
42230202132130
543034324410
64253234020
71056306555
oct254423634
9104086773
1045229980
1123592a54
1213192910
1394a8203
14601532c
153e86720
hex2b2279c

45229980 has 96 divisors (see below), whose sum is σ = 132701184. Its totient is φ = 11499264.

The previous prime is 45229969. The next prime is 45229991. The reversal of 45229980 is 8992254.

45229980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45229969) and next prime (45229991).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121074 + ... + 121446.

It is an arithmetic number, because the mean of its divisors is an integer number (1382304).

Almost surely, 245229980 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 45229980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66350592).

45229980 is an abundant number, since it is smaller than the sum of its proper divisors (87471204).

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

45229980 is a wasteful number, since it uses less digits than its factorization.

45229980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 45229980 is about 6725.3237840271. The cubic root of 45229980 is about 356.2942376583.

The spelling of 45229980 in words is "forty-five million, two hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 129 141 172 188 215 235 258 282 373 430 470 516 564 645 705 746 860 940 1119 1290 1410 1492 1865 2021 2238 2580 2820 3730 4042 4476 5595 6063 7460 8084 10105 11190 12126 16039 17531 20210 22380 24252 30315 32078 35062 40420 48117 52593 60630 64156 70124 80195 87655 96234 105186 121260 160390 175310 192468 210372 240585 262965 320780 350620 481170 525930 753833 962340 1051860 1507666 2261499 3015332 3769165 4522998 7538330 9045996 11307495 15076660 22614990 45229980