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4592020104 = 2332722356591
BaseRepresentation
bin1000100011011010…
…01010101010001000
3102212000200210100200
410101231022222020
533401024120404
62035354532200
7221536345500
oct42155125210
912760623320
104592020104
111a47091741
12a81a37060
13582485079
14317c20a00
151bd218839
hex111b4aa88

4592020104 has 144 divisors (see below), whose sum is σ = 15096481920. Its totient is φ = 1254939840.

The previous prime is 4592020099. The next prime is 4592020133. The reversal of 4592020104 is 4010202954.

4592020104 is a `hidden beast` number, since 459 + 2 + 0 + 201 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 52849 + ... + 109439.

It is an arithmetic number, because the mean of its divisors is an integer number (104836680).

Almost surely, 24592020104 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 4592020104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548240960).

4592020104 is an abundant number, since it is smaller than the sum of its proper divisors (10504461816).

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

4592020104 is a wasteful number, since it uses less digits than its factorization.

4592020104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56640 (or 56626 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4592020104 is about 67764.4457219271. The cubic root of 4592020104 is about 1662.1412470589.

The spelling of 4592020104 in words is "four billion, five hundred ninety-two million, twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1656 1764 1932 2254 2898 3381 3528 3864 4508 5796 6762 9016 10143 11592 13524 20286 27048 40572 56591 81144 113182 169773 226364 339546 396137 452728 509319 679092 792274 1018638 1188411 1301593 1358184 1584548 2037276 2376822 2603186 2772959 3169096 3565233 3904779 4074552 4753644 5206372 5545918 7130466 7809558 8318877 9111151 9507288 10412744 11091836 11714337 14260932 15619116 16637754 18222302 22183672 23428674 24956631 27333453 28521864 31238232 33275508 36444604 46857348 49913262 54666906 63778057 66551016 72889208 82000359 93714696 99826524 109333812 127556114 164000718 191334171 199653048 218667624 255112228 328001436 382668342 510224456 574002513 656002872 765336684 1148005026 1530673368 2296010052 4592020104