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4394228616 = 233410962213
BaseRepresentation
bin1000001011110101…
…01001101110001000
3102100020111221110000
410011322221232020
532444410303431
62004011323000
7213615220101
oct40572515610
912306457400
104394228616
111955477aa8
12a27750460
135504c209b
142d98553a8
151aab989e6
hex105ea9b88

4394228616 has 80 divisors (see below), whose sum is σ = 12421025100. Its totient is φ = 1451281536.

The previous prime is 4394228611. The next prime is 4394228617. The reversal of 4394228616 is 6168224934.

4394228616 is a `hidden beast` number, since 4 + 3 + 9 + 4 + 2 + 28 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4234104900 + 160123716 = 65070^2 + 12654^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4394228611) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39526 + ... + 101738.

Almost surely, 24394228616 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 4394228616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210512550).

4394228616 is an abundant number, since it is smaller than the sum of its proper divisors (8026796484).

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

4394228616 is a wasteful number, since it uses less digits than its factorization.

4394228616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62340 (or 62327 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 4394228616 is about 66288.9780883670. The cubic root of 4394228616 is about 1637.9257704960.

The spelling of 4394228616 in words is "four billion, three hundred ninety-four million, two hundred twenty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 324 327 436 648 654 872 981 1308 1962 2616 2943 3924 5886 7848 8829 11772 17658 23544 35316 62213 70632 124426 186639 248852 373278 497704 559917 746556 1119834 1493112 1679751 2239668 3359502 4479336 5039253 6719004 6781217 10078506 13438008 13562434 20157012 20343651 27124868 40314024 40687302 54249736 61030953 81374604 122061906 162749208 183092859 244123812 366185718 488247624 549278577 732371436 1098557154 1464742872 2197114308 4394228616