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4248969216 = 2133237517
BaseRepresentation
bin1111110101000010…
…0010000000000000
3101222010012000000020
43331100202000000
532200214003331
61541342053440
7210202433232
oct37520420000
911863160006
104248969216
111890483508
129a6b7a280
13529392b8b
142c4442252
1519d053c96
hexfd422000

4248969216 has 112 divisors (see below), whose sum is σ = 11824069824. Its totient is φ = 1354563584.

The previous prime is 4248969169. The next prime is 4248969269. The reversal of 4248969216 is 6129698424.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561490 + ... + 569006.

It is an arithmetic number, because the mean of its divisors is an integer number (105572052).

Almost surely, 24248969216 is an apocalyptic number.

4248969216 is a gapful number since it is divisible by the number (46) 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 4248969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912034912).

4248969216 is an abundant number, since it is smaller than the sum of its proper divisors (7575100608).

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

4248969216 is an equidigital number, since it uses as much as digits as its factorization.

4248969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569 (or 7545 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 4248969216 is about 65184.1178202175. The cubic root of 4248969216 is about 1619.6749355400.

The spelling of 4248969216 in words is "four billion, two hundred forty-eight million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4096 4416 5888 6144 7517 8192 8832 11776 12288 15034 17664 22551 23552 24576 30068 35328 45102 47104 60136 70656 90204 94208 120272 141312 172891 180408 188416 240544 282624 345782 360816 481088 518673 565248 691564 721632 962176 1037346 1383128 1443264 1924352 2074692 2766256 2886528 3848704 4149384 5532512 5773056 7697408 8298768 11065024 11546112 15394816 16597536 22130048 23092224 30789632 33195072 44260096 46184448 61579264 66390144 88520192 92368896 132780288 177040384 184737792 265560576 354080768 531121152 708161536 1062242304 1416323072 2124484608 4248969216