Search a number
-
+
45491136 = 263317643
BaseRepresentation
bin1010110110001…
…0001111000000
310011121012002220
42231202033000
543121204021
64303011040
71061445135
oct255421700
9104535086
1045491136
1123751189
1213299a80
13956a042
14608258c
153ed8cc6
hex2b623c0

45491136 has 56 divisors (see below), whose sum is σ = 124260864. Its totient is φ = 14672640.

The previous prime is 45491101. The next prime is 45491137. The reversal of 45491136 is 63119454.

It is a junction number, because it is equal to n+sod(n) for n = 45491097 and 45491106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45491137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2131 + ... + 9773.

It is an arithmetic number, because the mean of its divisors is an integer number (2218944).

Almost surely, 245491136 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 45491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62130432).

45491136 is an abundant number, since it is smaller than the sum of its proper divisors (78769728).

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

45491136 is a wasteful number, since it uses less digits than its factorization.

45491136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7679 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 45491136 is about 6744.7117062184. The cubic root of 45491136 is about 356.9786647012.

The spelling of 45491136 in words is "forty-five million, four hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 7643 15286 22929 30572 45858 61144 91716 122288 183432 236933 244576 366864 473866 489152 710799 733728 947732 1421598 1467456 1895464 2843196 3790928 5686392 7581856 11372784 15163712 22745568 45491136