Search a number
-
+
45208848 = 2431723259
BaseRepresentation
bin1010110001110…
…1010100010000
310011001211212210
42230131110100
543033140343
64252552120
71056161136
oct254352420
9104054783
1045208848
1123579093
1213182640
13949b6c9
14600b756
153e80333
hex2b1d510

45208848 has 60 divisors (see below), whose sum is σ = 124101680. Its totient is φ = 14178816.

The previous prime is 45208837. The next prime is 45208861. The reversal of 45208848 is 84880254.

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 11 ways as a sum of consecutive naturals, for example, 12243 + ... + 15501.

Almost surely, 245208848 is an apocalyptic number.

45208848 is a gapful number since it is divisible by the number (48) 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 45208848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62050840).

45208848 is an abundant number, since it is smaller than the sum of its proper divisors (78892832).

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

45208848 is a wasteful number, since it uses less digits than its factorization.

45208848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 45208848 is about 6723.7525237028. The cubic root of 45208848 is about 356.2387406722.

It can be divided in two parts, 45208 and 848, that added together give a triangular number (46056 = T303).

The spelling of 45208848 in words is "forty-five million, two hundred eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 1156 1734 2312 3259 3468 4624 6518 6936 9777 13036 13872 19554 26072 39108 52144 55403 78216 110806 156432 166209 221612 332418 443224 664836 886448 941851 1329672 1883702 2659344 2825553 3767404 5651106 7534808 11302212 15069616 22604424 45208848