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4946419840 = 27526329387
BaseRepresentation
bin1001001101101010…
…00110000010000000
3110202201120011101211
410212311012002000
540112240413330
62134454535504
7233401606045
oct44665060200
913681504354
104946419840
11210914148a
12b60667594
1360aa1ba5b
1434cd151cc
151de3c0d2a
hex126d46080

4946419840 has 64 divisors (see below), whose sum is σ = 11870400960. Its totient is φ = 1970977792.

The previous prime is 4946419837. The next prime is 4946419871. The reversal of 4946419840 is 489146494.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153627 + ... + 183013.

It is an arithmetic number, because the mean of its divisors is an integer number (185475015).

Almost surely, 24946419840 is an apocalyptic number.

4946419840 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 4946419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935200480).

4946419840 is an abundant number, since it is smaller than the sum of its proper divisors (6923981120).

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

4946419840 is a wasteful number, since it uses less digits than its factorization.

4946419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29669 (or 29657 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The square root of 4946419840 is about 70330.7887059430. The cubic root of 4946419840 is about 1703.8459455017.

The spelling of 4946419840 in words is "four billion, nine hundred forty-six million, four hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 263 320 526 640 1052 1315 2104 2630 4208 5260 8416 10520 16832 21040 29387 33664 42080 58774 84160 117548 146935 168320 235096 293870 470192 587740 940384 1175480 1880768 2350960 3761536 4701920 7728781 9403840 15457562 18807680 30915124 38643905 61830248 77287810 123660496 154575620 247320992 309151240 494641984 618302480 989283968 1236604960 2473209920 4946419840