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4244913408 = 28350910859
BaseRepresentation
bin1111110100000100…
…0011110100000000
3101221211112221111010
43331001003310000
532143144212113
61541115120520
7210123111561
oct37501036400
911854487433
104244913408
1118891632aa
129a5743140
135285a2aa8
142c3aa8168
1519ca021c3
hexfd043d00

4244913408 has 72 divisors (see below), whose sum is σ = 11320898400. Its totient is φ = 1412061184.

The previous prime is 4244913401. The next prime is 4244913433. The reversal of 4244913408 is 8043194424.

It is a Cunningham number, because it is equal to 651532-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244913401) 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, 385483 + ... + 396341.

It is an arithmetic number, because the mean of its divisors is an integer number (157234700).

Almost surely, 24244913408 is an apocalyptic number.

4244913408 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 4244913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660449200).

4244913408 is an abundant number, since it is smaller than the sum of its proper divisors (7075984992).

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

4244913408 is a wasteful number, since it uses less digits than its factorization.

4244913408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11387 (or 11373 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 4244913408 is about 65152.9999923258. Note that the first 5 decimals coincide. The cubic root of 4244913408 is about 1619.1594236995.

The spelling of 4244913408 in words is "four billion, two hundred forty-four million, nine hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 509 768 1018 1527 2036 3054 4072 6108 8144 10859 12216 16288 21718 24432 32576 32577 43436 48864 65152 65154 86872 97728 130304 130308 173744 195456 260616 347488 390912 521232 694976 1042464 1389952 2084928 2779904 4169856 5527231 8339712 11054462 16581693 22108924 33163386 44217848 66326772 88435696 132653544 176871392 265307088 353742784 530614176 707485568 1061228352 1414971136 2122456704 4244913408