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4984120728 = 2333293125667
BaseRepresentation
bin1001010010001001…
…11010010110011000
3110212100111120022000
410221010322112120
540201413330403
62142323001000
7234340220136
oct45104722630
913770446260
104984120728
112128451744
12b71209160
1361578bc82
14353d2a756
151e286b7a3
hex12913a598

4984120728 has 128 divisors (see below), whose sum is σ = 14784768000. Its totient is φ = 1552279680.

The previous prime is 4984120703. The next prime is 4984120751. The reversal of 4984120728 is 8270214894.

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, 181351 + ... + 207017.

It is an arithmetic number, because the mean of its divisors is an integer number (115506000).

Almost surely, 24984120728 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 4984120728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392384000).

4984120728 is an abundant number, since it is smaller than the sum of its proper divisors (9800647272).

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

4984120728 is a wasteful number, since it uses less digits than its factorization.

4984120728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25742 (or 25732 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4984120728 is about 70598.3054187563. The cubic root of 4984120728 is about 1708.1638154209.

The spelling of 4984120728 in words is "four billion, nine hundred eighty-four million, one hundred twenty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 87 93 108 116 124 174 186 216 232 248 261 279 348 372 522 558 696 744 783 837 899 1044 1116 1566 1674 1798 2088 2232 2697 3132 3348 3596 5394 6264 6696 7192 8091 10788 16182 21576 24273 25667 32364 48546 51334 64728 77001 97092 102668 154002 194184 205336 231003 308004 462006 616008 693009 744343 795677 924012 1386018 1488686 1591354 1848024 2233029 2387031 2772036 2977372 3182708 4466058 4774062 5544072 5954744 6365416 6699087 7161093 8932116 9548124 13398174 14322186 17864232 19096248 20097261 21483279 23074633 26796348 28644372 40194522 42966558 46149266 53592696 57288744 69223899 80389044 85933116 92298532 138447798 160778088 171866232 184597064 207671697 276895596 415343394 553791192 623015091 830686788 1246030182 1661373576 2492060364 4984120728