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48959960 = 2357199203
BaseRepresentation
bin1011101011000…
…1000111011000
310102010102102212
42322301013120
5100013204320
64505214252
71133103260
oct272610730
9112112385
1048959960
1125700385
1214491388
13a1b2bba
1467067a0
1544719c5
hex2eb11d8

48959960 has 64 divisors (see below), whose sum is σ = 132537600. Its totient is φ = 15901056.

The previous prime is 48959927. The next prime is 48959987. The reversal of 48959960 is 6995984.

48959960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48959899 and 48959908.

It is a congruent number.

It is an unprimeable number.

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, 719 + ... + 9921.

It is an arithmetic number, because the mean of its divisors is an integer number (2070900).

Almost surely, 248959960 is an apocalyptic number.

48959960 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 48959960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66268800).

48959960 is an abundant number, since it is smaller than the sum of its proper divisors (83577640).

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

48959960 is a wasteful number, since it uses less digits than its factorization.

48959960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 48959960 is about 6997.1394155040. The cubic root of 48959960 is about 365.8308713236.

The spelling of 48959960 in words is "forty-eight million, nine hundred fifty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 9203 18406 36812 46015 64421 73624 92030 128842 174857 184060 257684 322105 349714 368120 515368 644210 699428 874285 1223999 1288420 1398856 1748570 2447998 2576840 3497140 4895996 6119995 6994280 9791992 12239990 24479980 48959960