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45493560 = 23325722579
BaseRepresentation
bin1010110110001…
…0110100111000
310011121022102200
42231202310320
543121243220
64303030200
71061455200
oct255426470
9104538380
1045493560
1123752a92
121329b360
13956b188
146083400
153ed9890
hex2b62d38

45493560 has 144 divisors (see below), whose sum is σ = 172060200. Its totient is φ = 10394496.

The previous prime is 45493537. The next prime is 45493571. The reversal of 45493560 is 6539454.

It is a happy number.

45493560 is a `hidden beast` number, since 4 + 5 + 4 + 93 + 560 = 666.

45493560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 16351 + ... + 18929.

Almost surely, 245493560 is an apocalyptic number.

45493560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45493560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86030100).

45493560 is an abundant number, since it is smaller than the sum of its proper divisors (126566640).

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

45493560 is a wasteful number, since it uses less digits than its factorization.

45493560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 45493560 is about 6744.8914001635. The cubic root of 45493560 is about 356.9850051372.

The spelling of 45493560 in words is "forty-five million, four hundred ninety-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2579 2940 3528 4410 5158 5880 7737 8820 10316 12895 15474 17640 18053 20632 23211 25790 30948 36106 38685 46422 51580 54159 61896 72212 77370 90265 92844 103160 108318 116055 126371 144424 154740 162477 180530 185688 216636 232110 252742 270795 309480 324954 361060 379113 433272 464220 505484 541590 631855 649908 722120 758226 812385 928440 1010968 1083180 1137339 1263710 1299816 1516452 1624770 1895565 2166360 2274678 2527420 3032904 3249540 3791130 4549356 5054840 5686695 6499080 7582260 9098712 11373390 15164520 22746780 45493560