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4204014848 = 28119291607
BaseRepresentation
bin1111101010010100…
…0010110100000000
3101211222121002012122
43322211002310000
532102211433343
61533054343412
7206115352025
oct37245026400
911758532178
104204014848
111868069640
12993abab68
1351cc83267
142bc49d54c
15199124068
hexfa942d00

4204014848 has 72 divisors (see below), whose sum is σ = 9170038080. Its totient is φ = 1907671040.

The previous prime is 4204014821. The next prime is 4204014889. The reversal of 4204014848 is 8484104024.

It is a super-4 number, since 4×42040148484 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2615261 + ... + 2616867.

It is an arithmetic number, because the mean of its divisors is an integer number (127361640).

Almost surely, 24204014848 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 4204014848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585019040).

4204014848 is an abundant number, since it is smaller than the sum of its proper divisors (4966023232).

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

4204014848 is a wasteful number, since it uses less digits than its factorization.

4204014848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 35.

The square root of 4204014848 is about 64838.3748099842. The cubic root of 4204014848 is about 1613.9425831540.

The spelling of 4204014848 in words is "four billion, two hundred four million, fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 929 1408 1607 1858 2816 3214 3716 6428 7432 10219 12856 14864 17677 20438 25712 29728 35354 40876 51424 59456 70708 81752 102848 118912 141416 163504 205696 237824 282832 327008 411392 565664 654016 1131328 1308032 1492903 2262656 2616064 2985806 4525312 5971612 11943224 16421933 23886448 32843866 47772896 65687732 95545792 131375464 191091584 262750928 382183168 525501856 1051003712 2102007424 4204014848