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6442549248 = 215365537
BaseRepresentation
bin1100000000000000…
…11000000000000000
3121121222210102010010
412000000120000000
5101143243033443
62543142104520
7315436523262
oct60000300000
917558712103
106442549248
112806718673
1212b971b140
137b8987325
144518cbb32
1527a903733
hex180018000

6442549248 has 64 divisors (see below), whose sum is σ = 17180131320. Its totient is φ = 2147483648.

The previous prime is 6442549231. The next prime is 6442549271. The reversal of 6442549248 is 8429452446.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6442549197 and 6442549206.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 6442549248 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65536 + ... + 131072.

Almost surely, 26442549248 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 6442549248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8590065660).

6442549248 is an abundant number, since it is smaller than the sum of its proper divisors (10737582072).

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

6442549248 is an frugal number, since it uses more digits than its factorization.

6442549248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65570 (or 65542 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 6442549248 is about 80265.4922616189. The cubic root of 6442549248 is about 1860.7409511817.

The spelling of 6442549248 in words is "six billion, four hundred forty-two million, five hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65537 98304 131074 196611 262148 393222 524296 786444 1048592 1572888 2097184 3145776 4194368 6291552 8388736 12583104 16777472 25166208 33554944 50332416 67109888 100664832 134219776 201329664 268439552 402659328 536879104 805318656 1073758208 1610637312 2147516416 3221274624 6442549248