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45325260 = 223251929457
BaseRepresentation
bin1010110011100…
…1101111001100
310011021202120100
42230321233030
543100402020
64255251100
71060154421
oct254715714
9104252510
1045325260
11236485a2
1213219a90
13950c6a6
14603bd48
153ea4a90
hex2b39bcc

45325260 has 144 divisors (see below), whose sum is σ = 150040800. Its totient is φ = 11031552.

The previous prime is 45325243. The next prime is 45325261. The reversal of 45325260 is 6252354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45325261) 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, 98952 + ... + 99408.

It is an arithmetic number, because the mean of its divisors is an integer number (1041950).

Almost surely, 245325260 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 45325260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75020400).

45325260 is an abundant number, since it is smaller than the sum of its proper divisors (104715540).

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

45325260 is a wasteful number, since it uses less digits than its factorization.

45325260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45325260 is about 6732.4037312092. The cubic root of 45325260 is about 356.5442481241.

The spelling of 45325260 in words is "forty-five million, three hundred twenty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 457 522 551 570 580 684 855 870 914 1044 1102 1140 1305 1371 1653 1710 1740 1828 2204 2285 2610 2742 2755 3306 3420 4113 4570 4959 5220 5484 5510 6612 6855 8226 8265 8683 9140 9918 11020 13253 13710 16452 16530 17366 19836 20565 24795 26049 26506 27420 33060 34732 39759 41130 43415 49590 52098 53012 66265 78147 79518 82260 86830 99180 104196 119277 130245 132530 156294 159036 173660 198795 238554 251807 260490 265060 312588 390735 397590 477108 503614 520980 596385 755421 781470 795180 1007228 1192770 1259035 1510842 1562940 2266263 2385540 2518070 3021684 3777105 4532526 5036140 7554210 9065052 11331315 15108420 22662630 45325260