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47922368 = 2613239241
BaseRepresentation
bin1011011011001…
…1110011000000
310100011201010112
42312303303000
544232003433
64431050452
71121222234
oct266636300
9110151115
1047922368
112506186a
1214070a28
139c0b840
1465165c4
154319348
hex2db3cc0

47922368 has 56 divisors (see below), whose sum is σ = 103266240. Its totient is φ = 21934080.

The previous prime is 47922367. The next prime is 47922377. The reversal of 47922368 is 86322974.

It is a happy number.

47922368 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 (47922367) 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 7 ways as a sum of consecutive naturals, for example, 198728 + ... + 198968.

It is an arithmetic number, because the mean of its divisors is an integer number (1844040).

Almost surely, 247922368 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 47922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51633120).

47922368 is an abundant number, since it is smaller than the sum of its proper divisors (55343872).

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

47922368 is a wasteful number, since it uses less digits than its factorization.

47922368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 47922368 is about 6922.5983561088. The cubic root of 47922368 is about 363.2280868652.

The spelling of 47922368 in words is "forty-seven million, nine hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 239 241 416 478 482 832 956 964 1912 1928 3107 3133 3824 3856 6214 6266 7648 7712 12428 12532 15296 15424 24856 25064 49712 50128 57599 99424 100256 115198 198848 200512 230396 460792 748787 921584 1497574 1843168 2995148 3686336 5990296 11980592 23961184 47922368