Search a number
-
+
45889740 = 22345132179
BaseRepresentation
bin1010111100001…
…1100011001100
310012100102220000
42233003203030
543221432430
64315324300
71065025221
oct257034314
9105312800
1045889740
11239a3706
1213450690
1396795c0
146147948
154066e60
hex2bc38cc

45889740 has 120 divisors (see below), whose sum is σ = 155102640. Its totient is φ = 11290752.

The previous prime is 45889733. The next prime is 45889741. The reversal of 45889740 is 4798854.

45889740 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 (45).

It is not an unprimeable number, because it can be changed into a prime (45889741) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 19971 + ... + 22149.

It is an arithmetic number, because the mean of its divisors is an integer number (1292522).

Almost surely, 245889740 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 45889740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77551320).

45889740 is an abundant number, since it is smaller than the sum of its proper divisors (109212900).

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

45889740 is a wasteful number, since it uses less digits than its factorization.

45889740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 45889740 is about 6774.1966313357. The cubic root of 45889740 is about 358.0182777306.

The spelling of 45889740 in words is "forty-five million, eight hundred eighty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2179 2340 3510 4212 4358 5265 6537 7020 8716 10530 10895 13074 19611 21060 21790 26148 28327 32685 39222 43580 56654 58833 65370 78444 84981 98055 113308 117666 130740 141635 169962 176499 196110 235332 254943 283270 294165 339924 352998 392220 424905 509886 566540 588330 705996 764829 849810 882495 1019772 1176660 1274715 1529658 1699620 1764990 2294487 2549430 3059316 3529980 3824145 4588974 5098860 7648290 9177948 11472435 15296580 22944870 45889740