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4672905328 = 2471317712659
BaseRepresentation
bin1000101101000011…
…01110000001110000
3110001122220012000201
410112201232001300
534032230432303
62051404324544
7223541016460
oct42641560160
913048805021
104672905328
111a88807a33
12aa4b43754
13596165350
14324877ba0
151c539481d
hex11686e070

4672905328 has 160 divisors (see below), whose sum is σ = 11969233920. Its totient is φ = 1714728960.

The previous prime is 4672905301. The next prime is 4672905329. The reversal of 4672905328 is 8235092764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672905329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756063 + ... + 1758721.

It is an arithmetic number, because the mean of its divisors is an integer number (74807712).

Almost surely, 24672905328 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 4672905328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984616960).

4672905328 is an abundant number, since it is smaller than the sum of its proper divisors (7296328592).

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

4672905328 is a wasteful number, since it uses less digits than its factorization.

4672905328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 4672905328 is about 68358.6521809785. The cubic root of 4672905328 is about 1671.8436531080.

The spelling of 4672905328 in words is "four billion, six hundred seventy-two million, nine hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 71 91 104 112 119 136 142 182 208 221 238 272 284 364 442 476 497 568 728 884 923 952 994 1136 1207 1456 1547 1768 1846 1904 1988 2414 2659 3094 3536 3692 3976 4828 5318 6188 6461 7384 7952 8449 9656 10636 12376 12922 14768 15691 16898 18613 19312 21272 24752 25844 31382 33796 34567 37226 42544 45203 51688 62764 67592 69134 74452 90406 103376 109837 125528 135184 138268 148904 180812 188789 219674 241969 251056 276536 297808 316421 361624 377578 439348 483938 553072 587639 632842 723248 755156 878696 967876 1175278 1265684 1321523 1510312 1757392 1935752 2350556 2454257 2531368 2643046 3020624 3209413 3871504 4113473 4701112 4908514 5062736 5286092 6418826 8226946 9402224 9817028 10572184 12837652 16453892 17179799 19634056 21144368 22465891 25675304 32907784 34359598 39268112 41722369 44931782 51350608 65815568 68719196 83444738 89863564 137438392 166889476 179727128 274876784 292056583 333778952 359454256 584113166 667557904 1168226332 2336452664 4672905328