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4295070048 = 253237326647
BaseRepresentation
bin1000000000000000…
…11001000101100000
3102002022221011110110
410000000121011200
532244014220143
61550110131320
7211302331053
oct40000310540
912068834413
104295070048
111904500775
129ba4b0b40
13535ab4589
142ca602a9a
151a210d533
hex100019160

4295070048 has 96 divisors (see below), whose sum is σ = 11926365696. Its totient is φ = 1350632448.

The previous prime is 4295070037. The next prime is 4295070053. The reversal of 4295070048 is 8400705924.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4295069988 and 4295070015.

It is a congruent number.

It is an unprimeable number.

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, 147861 + ... + 174507.

It is an arithmetic number, because the mean of its divisors is an integer number (124232976).

Almost surely, 24295070048 is an apocalyptic number.

4295070048 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 4295070048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963182848).

4295070048 is an abundant number, since it is smaller than the sum of its proper divisors (7631295648).

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

4295070048 is a wasteful number, since it uses less digits than its factorization.

4295070048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26756 (or 26748 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 4295070048 is about 65536.7839308582. The cubic root of 4295070048 is about 1625.5116398216.

The spelling of 4295070048 in words is "four billion, two hundred ninety-five million, seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 73 92 96 138 146 184 219 276 292 368 438 552 584 736 876 1104 1168 1679 1752 2208 2336 3358 3504 5037 6716 7008 10074 13432 20148 26647 26864 40296 53294 53728 79941 80592 106588 159882 161184 213176 319764 426352 612881 639528 852704 1225762 1279056 1838643 1945231 2451524 2558112 3677286 3890462 4903048 5835693 7354572 7780924 9806096 11671386 14709144 15561848 19612192 23342772 29418288 31123696 44740313 46685544 58836576 62247392 89480626 93371088 134220939 178961252 186742176 268441878 357922504 536883756 715845008 1073767512 1431690016 2147535024 4295070048