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4049343984 = 243791113229
BaseRepresentation
bin1111000101011100…
…0001010111110000
3101110012112222200010
43301113001113300
531243113001414
61505451254520
7202226566410
oct36127012760
911405488603
104049343984
111798827084
1295014a440
134c6c0a33a
142a5b1a640
1518a770959
hexf15c15f0

4049343984 has 80 divisors (see below), whose sum is σ = 11969233920. Its totient is φ = 1155598080.

The previous prime is 4049343971. The next prime is 4049343989. The reversal of 4049343984 is 4893439404.

4049343984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4049343989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299482 + ... + 312710.

It is an arithmetic number, because the mean of its divisors is an integer number (149615424).

Almost surely, 24049343984 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 4049343984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984616960).

4049343984 is an abundant number, since it is smaller than the sum of its proper divisors (7919889936).

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

4049343984 is a wasteful number, since it uses less digits than its factorization.

4049343984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14158 (or 14152 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 4049343984 is about 63634.4559495876. The cubic root of 4049343984 is about 1593.9017848027.

The spelling of 4049343984 in words is "four billion, forty-nine million, three hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 911 1822 2733 3644 5466 6377 7288 10932 12754 13229 14576 19131 21864 25508 26458 38262 39687 43728 51016 52916 76524 79374 92603 102032 105832 153048 158748 185206 211664 277809 306096 317496 370412 555618 634992 740824 1111236 1481648 2222472 4444944 12051619 24103238 36154857 48206476 72309714 84361333 96412952 144619428 168722666 192825904 253083999 289238856 337445332 506167998 578477712 674890664 1012335996 1349781328 2024671992 4049343984