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48295320 = 2335478563
BaseRepresentation
bin1011100000111…
…0110110011000
310100212122201120
42320032312120
544330422240
64443045240
71124334453
oct270166630
9110778646
1048295320
1125296a97
1214210820
13a00c518
1465b249a
15438ead0
hex2e0ed98

48295320 has 64 divisors (see below), whose sum is σ = 147985920. Its totient is φ = 12603264.

The previous prime is 48295319. The next prime is 48295327. The reversal of 48295320 is 2359284.

It is a happy number.

48295320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48295327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359 + ... + 9921.

It is an arithmetic number, because the mean of its divisors is an integer number (2312280).

Almost surely, 248295320 is an apocalyptic number.

48295320 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 48295320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73992960).

48295320 is an abundant number, since it is smaller than the sum of its proper divisors (99690600).

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

48295320 is a wasteful number, since it uses less digits than its factorization.

48295320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 48295320 is about 6949.4834340403. The cubic root of 48295320 is about 364.1679175344.

The spelling of 48295320 in words is "forty-eight million, two hundred ninety-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 8563 17126 25689 34252 42815 51378 68504 85630 102756 128445 171260 205512 256890 342520 402461 513780 804922 1027560 1207383 1609844 2012305 2414766 3219688 4024610 4829532 6036915 8049220 9659064 12073830 16098440 24147660 48295320