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45772740 = 223251331631
BaseRepresentation
bin1010111010011…
…0111111000100
310012010111101200
42232212333010
543204211430
64313022500
71064030136
oct256467704
9105114350
1045772740
1123923812
12133b4a30
139638280
146117056
154042460
hex2ba6fc4

45772740 has 144 divisors (see below), whose sum is σ = 154592256. Its totient is φ = 10886400.

The previous prime is 45772739. The next prime is 45772747. The reversal of 45772740 is 4727754.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 45772695 and 45772704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45772747) 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, 72225 + ... + 72855.

Almost surely, 245772740 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 45772740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77296128).

45772740 is an abundant number, since it is smaller than the sum of its proper divisors (108819516).

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

45772740 is a wasteful number, since it uses less digits than its factorization.

45772740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 45772740 is about 6765.5554095728. Note that the first 3 decimals coincide. The cubic root of 45772740 is about 357.7137522296.

The spelling of 45772740 in words is "forty-five million, seven hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 631 780 806 930 1116 1170 1209 1262 1395 1612 1860 1893 2015 2340 2418 2524 2790 3155 3627 3786 4030 4836 5580 5679 6045 6310 7254 7572 8060 8203 9465 11358 12090 12620 14508 16406 18135 18930 19561 22716 24180 24609 28395 32812 36270 37860 39122 41015 49218 56790 58683 72540 73827 78244 82030 97805 98436 113580 117366 123045 147654 164060 176049 195610 234732 246090 254293 293415 295308 352098 369135 391220 492180 508586 586830 704196 738270 762879 880245 1017172 1173660 1271465 1476540 1525758 1760490 2288637 2542930 3051516 3520980 3814395 4577274 5085860 7628790 9154548 11443185 15257580 22886370 45772740