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4281090048 = 2143229033
BaseRepresentation
bin1111111100101100…
…0100000000000000
3102001100121220111200
43333023010000000
532231424340143
61544450341200
7211042444044
oct37713040000
912040556450
104281090048
1118a7622354
129b588a800
13532c2b2a1
142c8804024
151a0c9b1d3
hexff2c4000

4281090048 has 90 divisors (see below), whose sum is σ = 12367642014. Its totient is φ = 1426980864.

The previous prime is 4281090029. The next prime is 4281090083. The reversal of 4281090048 is 8400901824.

It can be written as a sum of positive squares in only one way, i.e., 3406823424 + 874266624 = 58368^2 + 29568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4281089994 and 4281090021.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132940 + ... + 161972.

Almost surely, 24281090048 is an apocalyptic number.

4281090048 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 4281090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183821007).

4281090048 is an abundant number, since it is smaller than the sum of its proper divisors (8086551966).

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

4281090048 is an equidigital number, since it uses as much as digits as its factorization.

4281090048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29067 (or 29038 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4281090048 is about 65430.0393397406. The cubic root of 4281090048 is about 1623.7460999040.

The spelling of 4281090048 in words is "four billion, two hundred eighty-one million, ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 29033 36864 49152 58066 73728 87099 116132 147456 174198 232264 261297 348396 464528 522594 696792 929056 1045188 1393584 1858112 2090376 2787168 3716224 4180752 5574336 7432448 8361504 11148672 14864896 16723008 22297344 29729792 33446016 44594688 59459584 66892032 89189376 118919168 133784064 178378752 237838336 267568128 356757504 475676672 535136256 713515008 1070272512 1427030016 2140545024 4281090048