Search a number
-
+
45161936 = 2419532803
BaseRepresentation
bin1010110001000…
…1110111010000
310010222110112022
42230101313100
543030140221
64251551012
71055604311
oct254216720
9103873468
1045161936
1123546916
121315b468
139483251
145dd8608
153e714ab
hex2b11dd0

45161936 has 40 divisors (see below), whose sum is σ = 93877920. Its totient is φ = 20981376.

The previous prime is 45161927. The next prime is 45161959. The reversal of 45161936 is 63916154.

It is a junction number, because it is equal to n+sod(n) for n = 45161896 and 45161905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14711 + ... + 17513.

It is an arithmetic number, because the mean of its divisors is an integer number (2346948).

Almost surely, 245161936 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 45161936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46938960).

45161936 is an abundant number, since it is smaller than the sum of its proper divisors (48715984).

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

45161936 is a wasteful number, since it uses less digits than its factorization.

45161936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2877 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 45161936 is about 6720.2630900881. The cubic root of 45161936 is about 356.1154782552.

The spelling of 45161936 in words is "forty-five million, one hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 2803 4028 5606 8056 11212 16112 22424 44848 53257 106514 148559 213028 297118 426056 594236 852112 1188472 2376944 2822621 5645242 11290484 22580968 45161936