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4221148848 = 243737339539
BaseRepresentation
bin1111101110011001…
…1001111010110000
3101220011211120122020
43323212121322300
532121103230343
61534505511440
7206414113260
oct37346317260
911804746566
104221148848
111876801674
129997a2580
135236a2017
142c087d7a0
1519a8aab83
hexfb999eb0

4221148848 has 80 divisors (see below), whose sum is σ = 12799299840. Its totient is φ = 1173443328.

The previous prime is 4221148843. The next prime is 4221148849. The reversal of 4221148848 is 8488411224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4221148843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157338 + ... + 182201.

It is an arithmetic number, because the mean of its divisors is an integer number (159991248).

Almost surely, 24221148848 is an apocalyptic number.

4221148848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4221148848 is an abundant number, since it is smaller than the sum of its proper divisors (8578150992).

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

4221148848 is a wasteful number, since it uses less digits than its factorization.

4221148848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339594 (or 339588 counting only the distinct ones).

The product of its digits is 131072, while the sum is 42.

The square root of 4221148848 is about 64970.3690000295. The cubic root of 4221148848 is about 1616.1322209071.

The spelling of 4221148848 in words is "four billion, two hundred twenty-one million, one hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 12432 339539 679078 1018617 1358156 2037234 2376773 2716312 4074468 4753546 5432624 7130319 8148936 9507092 12562943 14260638 16297872 19014184 25125886 28521276 37688829 38028368 50251772 57042552 75377658 87940601 100503544 114085104 150755316 175881202 201007088 263821803 301510632 351762404 527643606 603021264 703524808 1055287212 1407049616 2110574424 4221148848