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4215505424 = 2413295091373
BaseRepresentation
bin1111101101000011…
…1000001000010000
3101212210012212022112
43323100320020100
532113132133144
61534144524452
7206315130164
oct37320701020
911783185275
104215505424
1118735a7689
12997920728
13522477410
142bdc10ca4
1519a14399e
hexfb438210

4215505424 has 80 divisors (see below), whose sum is σ = 9123634800. Its totient is φ = 1873471488.

The previous prime is 4215505409. The next prime is 4215505451. The reversal of 4215505424 is 4245055124.

It can be written as a sum of positive squares in 8 ways, for example, as 429318400 + 3786187024 = 20720^2 + 61532^2 .

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 15 ways as a sum of consecutive naturals, for example, 3069602 + ... + 3070974.

It is an arithmetic number, because the mean of its divisors is an integer number (114045435).

Almost surely, 24215505424 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 4215505424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561817400).

4215505424 is an abundant number, since it is smaller than the sum of its proper divisors (4908129376).

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

4215505424 is a wasteful number, since it uses less digits than its factorization.

4215505424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The square root of 4215505424 is about 64926.9237219815. The cubic root of 4215505424 is about 1615.4116756051.

The spelling of 4215505424 in words is "four billion, two hundred fifteen million, five hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 509 754 1018 1373 1508 2036 2746 3016 4072 5492 6032 6617 8144 10984 13234 14761 17849 21968 26468 29522 35698 39817 52936 59044 71396 79634 105872 118088 142792 159268 191893 236176 285584 318536 383786 517621 637072 698857 767572 1035242 1397714 1535144 2070484 2795428 3070288 4140968 5590856 8281936 9085141 11181712 18170282 20266853 36340564 40533706 72681128 81067412 145362256 162134824 263469089 324269648 526938178 1053876356 2107752712 4215505424