Search a number
-
+
45731580 = 22355373197
BaseRepresentation
bin1010111001110…
…0111011111100
310012001101221020
42232130323330
543201402310
64312104140
71063466136
oct256347374
9105041836
1045731580
11238a58a4
1213395050
13962260b
146106056
154035170
hex2b9cefc

45731580 has 96 divisors (see below), whose sum is σ = 132922944. Its totient is φ = 11741184.

The previous prime is 45731573. The next prime is 45731591. The reversal of 45731580 is 8513754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232042 + ... + 232238.

It is an arithmetic number, because the mean of its divisors is an integer number (1384614).

Almost surely, 245731580 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 45731580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66461472).

45731580 is an abundant number, since it is smaller than the sum of its proper divisors (87191364).

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

45731580 is a wasteful number, since it uses less digits than its factorization.

45731580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 45731580 is about 6762.5128465682. The cubic root of 45731580 is about 357.6064983379.

The spelling of 45731580 in words is "forty-five million, seven hundred thirty-one thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 73 106 146 159 197 212 219 265 292 318 365 394 438 530 591 636 730 788 795 876 985 1060 1095 1182 1460 1590 1970 2190 2364 2955 3180 3869 3940 4380 5910 7738 10441 11607 11820 14381 15476 19345 20882 23214 28762 31323 38690 41764 43143 46428 52205 57524 58035 62646 71905 77380 86286 104410 116070 125292 143810 156615 172572 208820 215715 232140 287620 313230 431430 626460 762193 862860 1524386 2286579 3048772 3810965 4573158 7621930 9146316 11432895 15243860 22865790 45731580