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4053221304 = 23311711012141
BaseRepresentation
bin1111000110010111…
…0011111110111000
3101110110211222100120
43301211303332320
531300111040204
61510110333240
7202304545506
oct36145637670
911413758316
104053221304
11179aa35180
129514ba220
134c7967102
142a6449676
1518ac896d9
hexf1973fb8

4053221304 has 128 divisors (see below), whose sum is σ = 11326210560. Its totient is φ = 1198400000.

The previous prime is 4053221177. The next prime is 4053221327. The reversal of 4053221304 is 4031223504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892074 + ... + 1894214.

It is an arithmetic number, because the mean of its divisors is an integer number (88486020).

Almost surely, 24053221304 is an apocalyptic number.

4053221304 is a gapful number since it is divisible by the number (44) 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 4053221304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663105280).

4053221304 is an abundant number, since it is smaller than the sum of its proper divisors (7272989256).

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

4053221304 is a wasteful number, since it uses less digits than its factorization.

4053221304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4053221304 is about 63664.9142306813. The cubic root of 4053221304 is about 1594.4103524318.

Adding to 4053221304 its reverse (4031223504), we get a palindrome (8084444808).

The spelling of 4053221304 in words is "four billion, fifty-three million, two hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 101 132 142 202 213 264 284 303 404 426 568 606 781 808 852 1111 1212 1562 1704 2141 2222 2343 2424 3124 3333 4282 4444 4686 6248 6423 6666 7171 8564 8888 9372 12846 13332 14342 17128 18744 21513 23551 25692 26664 28684 43026 47102 51384 57368 70653 78881 86052 94204 141306 152011 157762 172104 188408 216241 236643 282612 304022 315524 432482 456033 473286 565224 608044 631048 648723 864964 912066 946572 1216088 1297446 1672121 1729928 1824132 1893144 2378651 2594892 3344242 3648264 4757302 5016363 5189784 6688484 7135953 9514604 10032726 13376968 14271906 15353111 19029208 20065452 28543812 30706222 40130904 46059333 57087624 61412444 92118666 122824888 168884221 184237332 337768442 368474664 506652663 675536884 1013305326 1351073768 2026610652 4053221304