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4096543488 = 28319383733
BaseRepresentation
bin1111010000101100…
…0100101100000000
3101120111100222012220
43310023010230000
531342203342423
61514255051040
7203342021322
oct36413045400
911514328186
104096543488
111812434834
12963b10a80
13503924b3b
142ac0c5612
1518e9959e3
hexf42c4b00

4096543488 has 144 divisors (see below), whose sum is σ = 11522273280. Its totient is φ = 1288507392.

The previous prime is 4096543481. The next prime is 4096543513. The reversal of 4096543488 is 8843456904.

It is a super-2 number, since 2×40965434882 = 33563337098150412288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4096543488.

It is not an unprimeable number, because it can be changed into a prime (4096543481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5588370 + ... + 5589102.

Almost surely, 24096543488 is an apocalyptic number.

4096543488 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 4096543488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761136640).

4096543488 is an abundant number, since it is smaller than the sum of its proper divisors (7425729792).

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

4096543488 is a wasteful number, since it uses less digits than its factorization.

4096543488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The square root of 4096543488 is about 64004.2458591616. The cubic root of 4096543488 is about 1600.0707635369.

The spelling of 4096543488 in words is "four billion, ninety-six million, five hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 383 384 456 608 733 766 768 912 1149 1216 1466 1532 1824 2199 2298 2432 2932 3064 3648 4398 4596 4864 5864 6128 7277 7296 8796 9192 11728 12256 13927 14554 14592 17592 18384 21831 23456 24512 27854 29108 35184 36768 41781 43662 46912 49024 55708 58216 70368 73536 83562 87324 93824 98048 111416 116432 140736 147072 167124 174648 187648 222832 232864 280739 281472 294144 334248 349296 445664 465728 561478 562944 668496 698592 842217 891328 931456 1122956 1336992 1397184 1684434 1782656 1862912 2245912 2673984 2794368 3368868 3565312 4491824 5334041 5347968 5588736 6737736 8983648 10668082 10695936 13475472 16002123 17967296 21336164 26950944 32004246 35934592 42672328 53901888 64008492 71869184 85344656 107803776 128016984 170689312 215607552 256033968 341378624 512067936 682757248 1024135872 1365514496 2048271744 4096543488