Search a number
-
+
45436950 = 2345213863
BaseRepresentation
bin1010110101010…
…1000000010110
310011111102210000
42231111000112
543112440300
64301512130
71061131146
oct255250026
9104442700
1045436950
11237144a9
1213272646
13954b490
14606a926
153ec7c00
hex2b55016

45436950 has 120 divisors (see below), whose sum is σ = 136116288. Its totient is φ = 11171520.

The previous prime is 45436943. The next prime is 45436969. The reversal of 45436950 is 5963454.

It is a happy number.

45436950 is a `hidden beast` number, since 4 + 543 + 69 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52219 + ... + 53081.

Almost surely, 245436950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45436950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058144).

45436950 is an abundant number, since it is smaller than the sum of its proper divisors (90679338).

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

45436950 is a wasteful number, since it uses less digits than its factorization.

45436950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

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

The square root of 45436950 is about 6740.6935844911. The cubic root of 45436950 is about 356.8368720148.

The spelling of 45436950 in words is "forty-five million, four hundred thirty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 270 325 351 390 405 450 585 650 675 702 810 863 975 1053 1170 1350 1726 1755 1950 2025 2106 2589 2925 3510 4050 4315 5178 5265 5850 7767 8630 8775 10530 11219 12945 15534 17550 21575 22438 23301 25890 26325 33657 38835 43150 46602 52650 56095 64725 67314 69903 77670 100971 112190 116505 129450 139806 168285 194175 201942 233010 280475 302913 336570 349515 388350 504855 560950 582525 605826 699030 841425 908739 1009710 1165050 1514565 1682850 1747575 1817478 2524275 3029130 3495150 4543695 5048550 7572825 9087390 15145650 22718475 45436950