Search a number
-
+
45245080 = 23519371609
BaseRepresentation
bin1010110010011…
…0001010011000
310011010200120201
42230212022120
543040320310
64253431544
71056401566
oct254461230
9104120521
1045245080
11235a3331
121319b5b4
1394b204a
14601aa36
153e8ae3a
hex2b26298

45245080 has 64 divisors (see below), whose sum is σ = 110124000. Its totient is φ = 16671744.

The previous prime is 45245077. The next prime is 45245111. The reversal of 45245080 is 8054254.

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, 27316 + ... + 28924.

Almost surely, 245245080 is an apocalyptic number.

45245080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45245080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55062000).

45245080 is an abundant number, since it is smaller than the sum of its proper divisors (64878920).

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

45245080 is a wasteful number, since it uses less digits than its factorization.

45245080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 45245080 is about 6726.4463128758. The cubic root of 45245080 is about 356.3338827815. Note that the first 3 decimals are identical.

It can be divided in two parts, 4524 and 5080, that added together give a square (9604 = 982).

The spelling of 45245080 in words is "forty-five million, two hundred forty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 740 760 1406 1480 1609 2812 3218 3515 5624 6436 7030 8045 12872 14060 16090 28120 30571 32180 59533 61142 64360 119066 122284 152855 238132 244568 297665 305710 476264 595330 611420 1131127 1190660 1222840 2262254 2381320 4524508 5655635 9049016 11311270 22622540 45245080