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4872394152 = 2332238335449
BaseRepresentation
bin1001000100110101…
…01101010110101000
3110120120021021020200
410202122231112220
534434313103102
62123252152200
7231512444523
oct44232552650
913516237220
104872394152
11208038092a
12b3b908660
135c85a0a82
14343165bba
151d7b4c51c
hex1226ad5a8

4872394152 has 96 divisors (see below), whose sum is σ = 13936104000. Its totient is φ = 1534756608.

The previous prime is 4872394097. The next prime is 4872394159. The reversal of 4872394152 is 2514932784.

4872394152 is a `hidden beast` number, since 48 + 72 + 394 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4872394098 and 4872394107.

It is not an unprimeable number, because it can be changed into a prime (4872394159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119724 + ... + 155172.

It is an arithmetic number, because the mean of its divisors is an integer number (145167750).

Almost surely, 24872394152 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 4872394152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968052000).

4872394152 is an abundant number, since it is smaller than the sum of its proper divisors (9063709848).

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

4872394152 is a wasteful number, since it uses less digits than its factorization.

4872394152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35567 (or 35560 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4872394152 is about 69802.5368593434. The cubic root of 4872394152 is about 1695.3035486327.

The spelling of 4872394152 in words is "four billion, eight hundred seventy-two million, three hundred ninety-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 83 92 138 166 184 207 249 276 332 414 498 552 664 747 828 996 1494 1656 1909 1992 2988 3818 5727 5976 7636 11454 15272 17181 22908 34362 35449 45816 68724 70898 106347 137448 141796 212694 283592 319041 425388 638082 815327 850776 1276164 1630654 2445981 2552328 2942267 3261308 4891962 5884534 6522616 7337943 8826801 9783924 11769068 14675886 17653602 19567848 23538136 26480403 29351772 35307204 52960806 58703544 67672141 70614408 105921612 135344282 203016423 211843224 270688564 406032846 541377128 609049269 812065692 1218098538 1624131384 2436197076 4872394152