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1028226048 = 2103433773
BaseRepresentation
bin111101010010010…
…111110000000000
32122122210021222020
4331102113300000
54101211213143
6250010241440
734323530403
oct7522276000
92578707866
101028226048
114884524a3
12248426280
131350408a5
149a7b7d3a
1560409883
hex3d497c00

1028226048 has 88 divisors (see below), whose sum is σ = 2750480208. Its totient is φ = 341508096.

The previous prime is 1028225969. The next prime is 1028226053. The reversal of 1028226048 is 8406228201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329790 + ... + 1330562.

Almost surely, 21028226048 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 1028226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375240104).

1028226048 is an abundant number, since it is smaller than the sum of its proper divisors (1722254160).

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

1028226048 is an equidigital number, since it uses as much as digits as its factorization.

1028226048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1028226048 is about 32065.9640117056. The cubic root of 1028226048 is about 1009.3215219112.

The spelling of 1028226048 in words is "one billion, twenty-eight million, two hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 433 512 768 773 866 1024 1299 1536 1546 1732 2319 2598 3072 3092 3464 4638 5196 6184 6928 9276 10392 12368 13856 18552 20784 24736 27712 37104 41568 49472 55424 74208 83136 98944 110848 148416 166272 197888 221696 296832 332544 334709 395776 443392 593664 665088 669418 791552 1004127 1187328 1330176 1338836 2008254 2374656 2677672 4016508 5355344 8033016 10710688 16066032 21421376 32132064 42842752 64264128 85685504 128528256 171371008 257056512 342742016 514113024 1028226048