Search a number
-
+
45330936 = 2337475741
BaseRepresentation
bin1010110011101…
…1000111111000
310011022001100120
42230323013320
543101042221
64255333240
71060210110
oct254730770
9104261316
1045330936
1123651892
1213221220
139512151
146040040
153ea65c6
hex2b3b1f8

45330936 has 64 divisors (see below), whose sum is σ = 132295680. Its totient is φ = 12673920.

The previous prime is 45330899. The next prime is 45330949. The reversal of 45330936 is 63903354.

It is a junction number, because it is equal to n+sod(n) for n = 45330897 and 45330906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5026 + ... + 10766.

It is an arithmetic number, because the mean of its divisors is an integer number (2067120).

Almost surely, 245330936 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 45330936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66147840).

45330936 is an abundant number, since it is smaller than the sum of its proper divisors (86964744).

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

45330936 is a wasteful number, since it uses less digits than its factorization.

45330936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 45330936 is about 6732.8252613595. The cubic root of 45330936 is about 356.5591306324.

The spelling of 45330936 in words is "forty-five million, three hundred thirty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 5741 7896 11482 17223 22964 34446 40187 45928 68892 80374 120561 137784 160748 241122 269827 321496 482244 539654 809481 964488 1079308 1618962 1888789 2158616 3237924 3777578 5666367 6475848 7555156 11332734 15110312 22665468 45330936