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4266000384 = 217319571
BaseRepresentation
bin1111111001000110…
…0000000000000000
3102000022020021101020
43332101200000000
532214044003014
61543151105440
7210500255622
oct37621400000
912008207336
104266000384
11189a056258
129b0812280
1352ca76ba9
142c67d6c12
1519e7ba1a9
hexfe460000

4266000384 has 144 divisors (see below), whose sum is σ = 11995663680. Its totient is φ = 1344798720.

The previous prime is 4266000379. The next prime is 4266000391. The reversal of 4266000384 is 4830006624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7470819 + ... + 7471389.

It is an arithmetic number, because the mean of its divisors is an integer number (83303220).

Almost surely, 24266000384 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 4266000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997831840).

4266000384 is an abundant number, since it is smaller than the sum of its proper divisors (7729663296).

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

4266000384 is an frugal number, since it uses more digits than its factorization.

4266000384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4266000384 is about 65314.6261108490. The cubic root of 4266000384 is about 1621.8361013878.

The spelling of 4266000384 in words is "four billion, two hundred sixty-six million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 571 608 768 912 1024 1142 1216 1536 1713 1824 2048 2284 2432 3072 3426 3648 4096 4568 4864 6144 6852 7296 8192 9136 9728 10849 12288 13704 14592 16384 18272 19456 21698 24576 27408 29184 32547 32768 36544 38912 43396 49152 54816 58368 65094 65536 73088 77824 86792 98304 109632 116736 130188 131072 146176 155648 173584 196608 219264 233472 260376 292352 311296 347168 393216 438528 466944 520752 584704 622592 694336 877056 933888 1041504 1169408 1245184 1388672 1754112 1867776 2083008 2338816 2490368 2777344 3508224 3735552 4166016 4677632 5554688 7016448 7471104 8332032 9355264 11109376 14032896 16664064 18710528 22218752 28065792 33328128 37421056 44437504 56131584 66656256 74842112 88875008 112263168 133312512 177750016 224526336 266625024 355500032 533250048 711000064 1066500096 1422000128 2133000192 4266000384