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4059982872 = 2333116732539
BaseRepresentation
bin1111000111111110…
…0110110000011000
3101110221120111111000
43301333212300120
531303323422442
61510511305000
7202416166521
oct36177466030
911427514430
104059982872
1117a3833250
1295381b160
134c919393a
142a72c9848
1518b672d4c
hexf1fe6c18

4059982872 has 128 divisors (see below), whose sum is σ = 12326112000. Its totient is φ = 1227985920.

The previous prime is 4059982867. The next prime is 4059982873. The reversal of 4059982872 is 2782899504.

4059982872 is a `hidden beast` number, since 40 + 599 + 8 + 2 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4059982873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1597779 + ... + 1600317.

It is an arithmetic number, because the mean of its divisors is an integer number (96297750).

Almost surely, 24059982872 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 4059982872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163056000).

4059982872 is an abundant number, since it is smaller than the sum of its proper divisors (8266129128).

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

4059982872 is a wasteful number, since it uses less digits than its factorization.

4059982872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4059982872 is about 63717.9948837061. The cubic root of 4059982872 is about 1595.2964562636.

The spelling of 4059982872 in words is "four billion, fifty-nine million, nine hundred eighty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 673 792 1188 1346 2019 2376 2539 2692 4038 5078 5384 6057 7403 7617 8076 10156 12114 14806 15234 16152 18171 20312 22209 22851 24228 27929 29612 30468 36342 44418 45702 48456 55858 59224 60936 66627 68553 72684 83787 88836 91404 111716 133254 137106 145368 167574 177672 182808 199881 223432 251361 266508 274212 335148 399762 502722 533016 548424 670296 754083 799524 1005444 1508166 1599048 1708747 2010888 3016332 3417494 5126241 6032664 6834988 10252482 13669976 15378723 18796217 20504964 30757446 37592434 41009928 46136169 56388651 61514892 75184868 92272338 112777302 123029784 150369736 169165953 184544676 225554604 338331906 369089352 451109208 507497859 676663812 1014995718 1353327624 2029991436 4059982872