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4848944256 = 273313107927
BaseRepresentation
bin1001000010000010…
…10000010010000000
3110111221010220001000
410201001100102000
534412312204011
62121053412000
7231106226502
oct44101202200
913457126030
104848944256
112069114652
12b33a9a000
135c37802b0
1433ddbdd72
151d5a69356
hex121050480

4848944256 has 128 divisors (see below), whose sum is σ = 15412118400. Its totient is φ = 1491969024.

The previous prime is 4848944251. The next prime is 4848944257. The reversal of 4848944256 is 6524498484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×48489442564 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4848944251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9036 + ... + 98891.

It is an arithmetic number, because the mean of its divisors is an integer number (120407175).

Almost surely, 24848944256 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 4848944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706059200).

4848944256 is an abundant number, since it is smaller than the sum of its proper divisors (10563174144).

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

4848944256 is a wasteful number, since it uses less digits than its factorization.

4848944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107963 (or 107945 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 4848944256 is about 69634.3611732024. The cubic root of 4848944256 is about 1692.5794504470.

The spelling of 4848944256 in words is "four billion, eight hundred forty-eight million, nine hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 107927 215854 323781 431708 647562 863416 971343 1295124 1403051 1726832 1942686 2590248 2806102 2914029 3453664 3885372 4209153 5180496 5612204 5828058 6907328 7770744 8418306 10360992 11224408 11656116 12627459 13814656 15541488 16836612 20721984 22448816 23312232 25254918 31082976 33673224 37882377 41443968 44897632 46624464 50509836 62165952 67346448 75764754 89795264 93248928 101019672 124331904 134692896 151529508 179590528 186497856 202039344 269385792 303059016 372995712 404078688 538771584 606118032 808157376 1212236064 1616314752 2424472128 4848944256