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45328248 = 233573331
BaseRepresentation
bin1010110011101…
…0011101111000
310011021220200000
42230322131320
543101000443
64255313000
71060166220
oct254723570
9104256600
1045328248
112364a869
121321b760
139510b64
14603d080
153ea58d3
hex2b3a778

45328248 has 96 divisors (see below), whose sum is σ = 145541760. Its totient is φ = 12947040.

The previous prime is 45328229. The next prime is 45328253. The reversal of 45328248 is 84282354.

45328248 is a `hidden beast` number, since 4 + 532 + 82 + 48 = 666.

It is a super-3 number, since 3×453282483 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11943 + ... + 15273.

It is an arithmetic number, because the mean of its divisors is an integer number (1516060).

Almost surely, 245328248 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 45328248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72770880).

45328248 is an abundant number, since it is smaller than the sum of its proper divisors (100213512).

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

45328248 is a wasteful number, since it uses less digits than its factorization.

45328248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3343 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 45328248 is about 6732.6256393773. The cubic root of 45328248 is about 356.5520828341.

The spelling of 45328248 in words is "forty-five million, three hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3331 3402 4536 6662 6804 9993 13324 13608 19986 23317 26648 29979 39972 46634 59958 69951 79944 89937 93268 119916 139902 179874 186536 209853 239832 269811 279804 359748 419706 539622 559608 629559 719496 809433 839412 1079244 1259118 1618866 1678824 1888677 2158488 2518236 3237732 3777354 5036472 5666031 6475464 7554708 11332062 15109416 22664124 45328248