Search a number
-
+
45235344 = 24371112239
BaseRepresentation
bin1010110010001…
…1110010010000
310011010012020010
42230203302100
543040012334
64253314520
71056331320
oct254436220
9104105203
1045235344
1123596a90
1213195a40
1394aa79b
146017280
153e880e9
hex2b23c90

45235344 has 80 divisors (see below), whose sum is σ = 145704960. Its totient is φ = 11748480.

The previous prime is 45235301. The next prime is 45235363. The reversal of 45235344 is 44353254.

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 15 ways as a sum of consecutive naturals, for example, 2424 + ... + 9815.

It is an arithmetic number, because the mean of its divisors is an integer number (1821312).

Almost surely, 245235344 is an apocalyptic number.

45235344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45235344 is an abundant number, since it is smaller than the sum of its proper divisors (100469616).

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

45235344 is a wasteful number, since it uses less digits than its factorization.

45235344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268 (or 12262 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 45235344 is about 6725.7225634128. The cubic root of 45235344 is about 356.3083218766.

Adding to 45235344 its reverse (44353254), we get a palindrome (89588598).

The spelling of 45235344 in words is "forty-five million, two hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 12239 24478 36717 48956 73434 85673 97912 134629 146868 171346 195824 257019 269258 293736 342692 403887 514038 538516 587472 685384 807774 942403 1028076 1077032 1370768 1615548 1884806 2056152 2154064 2827209 3231096 3769612 4112304 5654418 6462192 7539224 11308836 15078448 22617672 45235344