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4014853808 = 24726198273
BaseRepresentation
bin1110111101001101…
…1100111010110000
3101100210122201001012
43233103130322300
531210300310213
61502220130052
7201330460100
oct35723347260
911323581035
104014853808
11178030a0a9
12940696928
134bca22654
142a12dd200
1518770b4a8
hexef4dceb0

4014853808 has 60 divisors (see below), whose sum is σ = 9064497960. Its totient is φ = 1717664256.

The previous prime is 4014853793. The next prime is 4014853819. The reversal of 4014853808 is 8083584104.

It is a super-2 number, since 2×40148538082 = 32238102199224201728, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 481160 + ... + 489432.

It is an arithmetic number, because the mean of its divisors is an integer number (151074966).

Almost surely, 24014853808 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 4014853808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532248980).

4014853808 is an abundant number, since it is smaller than the sum of its proper divisors (5049644152).

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

4014853808 is a wasteful number, since it uses less digits than its factorization.

4014853808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8914 (or 8901 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 4014853808 is about 63362.8740509772. The cubic root of 4014853808 is about 1589.3635373078.

The spelling of 4014853808 in words is "four billion, fourteen million, eight hundred fifty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 619 784 1238 2476 4333 4952 8273 8666 9904 16546 17332 30331 33092 34664 57911 60662 66184 69328 115822 121324 132368 231644 242648 405377 463288 485296 810754 926576 1621508 3243016 5120987 6486032 10241974 20483948 35846909 40967896 71693818 81935792 143387636 250928363 286775272 501856726 573550544 1003713452 2007426904 4014853808