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4072328484 = 22373710112973
BaseRepresentation
bin1111001010111010…
…1100110100100100
3101111210210201110220
43302232230310210
531320004002414
61512032044340
7202626135540
oct36256546444
911453721426
104072328484
1117aa7a5734
129579936b0
134cb8c7033
142a8bc0a20
1518c7b0ca9
hexf2bacd24

4072328484 has 96 divisors (see below), whose sum is σ = 11264338176. Its totient is φ = 1120780800.

The previous prime is 4072328479. The next prime is 4072328497. The reversal of 4072328484 is 4848232704.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307422 + ... + 320394.

It is an arithmetic number, because the mean of its divisors is an integer number (117336856).

Almost surely, 24072328484 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 4072328484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632169088).

4072328484 is an abundant number, since it is smaller than the sum of its proper divisors (7192009692).

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

4072328484 is a wasteful number, since it uses less digits than its factorization.

4072328484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13125 (or 13123 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 4072328484 is about 63814.7983151244. The cubic root of 4072328484 is about 1596.9118146335.

The spelling of 4072328484 in words is "four billion, seventy-two million, three hundred twenty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 101 111 148 202 222 259 303 404 444 518 606 707 777 1036 1212 1414 1554 2121 2828 3108 3737 4242 7474 8484 11211 12973 14948 22422 25946 26159 38919 44844 51892 52318 77838 78477 90811 104636 155676 156954 181622 272433 313908 363244 480001 544866 960002 1089732 1310273 1440003 1920004 2620546 2880006 3360007 3930819 5241092 5760012 6720014 7861638 9171911 10080021 13440028 15723276 18343822 20160042 27515733 36687644 40320084 48480101 55031466 96960202 110062932 145440303 193920404 290880606 339360707 581761212 678721414 1018082121 1357442828 2036164242 4072328484