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4055228008 = 2313217533329
BaseRepresentation
bin1111000110110101…
…1101111001101000
3101110121121221000221
43301231131321220
531301114244013
61510221335424
7202330604116
oct36155357150
911417557027
104055228008
1117a1085907
12952107574
134c81ba600
142a680cab6
1518b03408d
hexf1b5de68

4055228008 has 96 divisors (see below), whose sum is σ = 8884906200. Its totient is φ = 1727791104.

The previous prime is 4055227999. The next prime is 4055228029. The reversal of 4055228008 is 8008225504.

It can be written as a sum of positive squares in 12 ways, for example, as 174187204 + 3881040804 = 13198^2 + 62298^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216488 + ... + 1219816.

Almost surely, 24055228008 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 4055228008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442453100).

4055228008 is an abundant number, since it is smaller than the sum of its proper divisors (4829678192).

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

4055228008 is a wasteful number, since it uses less digits than its factorization.

4055228008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 4055228008 is about 63680.6721698193. The cubic root of 4055228008 is about 1594.6734338612.

The spelling of 4055228008 in words is "four billion, fifty-five million, two hundred twenty-eight thousand, eight".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 169 212 221 338 424 442 676 689 884 901 1352 1378 1768 1802 2756 2873 3329 3604 5512 5746 6658 7208 8957 11492 11713 13316 17914 22984 23426 26632 35828 43277 46852 56593 71656 86554 93704 113186 152269 173108 176437 226372 304538 346216 352874 452744 562601 609076 705748 735709 1125202 1218152 1411496 1471418 2250404 2293681 2942836 2999429 4500808 4587362 5885672 5998858 9174724 9564217 11997716 18349448 19128434 23995432 29817853 38256868 38992577 59635706 76513736 77985154 119271412 155970308 238542824 311940616 506903501 1013807002 2027614004 4055228008