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4288643072 = 215722671
BaseRepresentation
bin1111111110011111…
…1000000000000000
3102001212211122022022
43333213320000000
532240343034242
61545320301012
7211163602400
oct37747700000
912055748268
104288643072
11190091101a
129b8311768
1353467412c
142c980c800
151a178e0d2
hexff9f8000

4288643072 has 96 divisors (see below), whose sum is σ = 9981242640. Its totient is φ = 1837301760.

The previous prime is 4288643069. The next prime is 4288643077. The reversal of 4288643072 is 2703468824.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288643077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1604297 + ... + 1606967.

Almost surely, 24288643072 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 4288643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990621320).

4288643072 is an abundant number, since it is smaller than the sum of its proper divisors (5692599568).

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

4288643072 is an frugal number, since it uses more digits than its factorization.

4288643072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The square root of 4288643072 is about 65487.7322252038. The cubic root of 4288643072 is about 1624.7004509153.

It can be divided in two parts, 42886 and 43072, that added together give a palindrome (85958).

The spelling of 4288643072 in words is "four billion, two hundred eighty-eight million, six hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 2671 3136 3584 4096 5342 6272 7168 8192 10684 12544 14336 16384 18697 21368 25088 28672 32768 37394 42736 50176 57344 74788 85472 100352 114688 130879 149576 170944 200704 229376 261758 299152 341888 401408 523516 598304 683776 802816 1047032 1196608 1367552 1605632 2094064 2393216 2735104 4188128 4786432 5470208 8376256 9572864 10940416 16752512 19145728 21880832 33505024 38291456 43761664 67010048 76582912 87523328 134020096 153165824 268040192 306331648 536080384 612663296 1072160768 2144321536 4288643072