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48620208 = 24371311131
BaseRepresentation
bin1011100101111…
…0001010110000
310101111011101110
42321132022300
544421321313
64454033320
71130156610
oct271361260
9111434343
1048620208
112549909a
1214348840
13a0c4370
146658a40
154405ec3
hex2e5e2b0

48620208 has 80 divisors (see below), whose sum is σ = 154601216. Its totient is φ = 12821760.

The previous prime is 48620207. The next prime is 48620227. The reversal of 48620208 is 80202684.

It is a happy number.

48620208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48620203) 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, 1198 + ... + 9933.

Almost surely, 248620208 is an apocalyptic number.

48620208 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 48620208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77300608).

48620208 is an abundant number, since it is smaller than the sum of its proper divisors (105981008).

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

48620208 is a wasteful number, since it uses less digits than its factorization.

48620208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162 (or 11156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48620208 is about 6972.8192289776. The cubic root of 48620208 is about 364.9826926178.

It can be divided in two parts, 48620 and 208, that added together give a triangular number (48828 = T312).

The spelling of 48620208 in words is "forty-eight million, six hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 11131 22262 33393 44524 66786 77917 89048 133572 144703 155834 178096 233751 267144 289406 311668 434109 467502 534288 578812 623336 868218 935004 1012921 1157624 1246672 1736436 1870008 2025842 2315248 3038763 3472872 3740016 4051684 6077526 6945744 8103368 12155052 16206736 24310104 48620208