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4247472384 = 28331793433
BaseRepresentation
bin1111110100101011…
…0100100100000000
3101222000100221202000
43331022310210000
532144323104014
61541250024000
7210153630261
oct37512644400
911860327660
104247472384
11188a650961
129a6578000
13528c8a78c
142c4172968
1519cd5a509
hexfd2b4900

4247472384 has 144 divisors (see below), whose sum is σ = 12634372800. Its totient is φ = 1407504384.

The previous prime is 4247472377. The next prime is 4247472421. The reversal of 4247472384 is 4832747424.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235532 + ... + 1238964.

It is an arithmetic number, because the mean of its divisors is an integer number (87738700).

Almost surely, 24247472384 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 4247472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317186400).

4247472384 is an abundant number, since it is smaller than the sum of its proper divisors (8386900416).

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

4247472384 is a wasteful number, since it uses less digits than its factorization.

4247472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3617 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 45.

The square root of 4247472384 is about 65172.6352390326. The cubic root of 4247472384 is about 1619.4847195218.

The spelling of 4247472384 in words is "four billion, two hundred forty-seven million, four hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 179 192 216 256 288 358 384 432 537 576 716 768 864 1074 1152 1432 1611 1728 2148 2304 2864 3222 3433 3456 4296 4833 5728 6444 6866 6912 8592 9666 10299 11456 12888 13732 17184 19332 20598 22912 25776 27464 30897 34368 38664 41196 45824 51552 54928 61794 68736 77328 82392 92691 103104 109856 123588 137472 154656 164784 185382 206208 219712 247176 309312 329568 370764 412416 439424 494352 614507 618624 659136 741528 878848 988704 1229014 1237248 1318272 1483056 1843521 1977408 2458028 2636544 2966112 3687042 3954816 4916056 5530563 5932224 7374084 7909632 9832112 11061126 11864448 14748168 16591689 19664224 22122252 23728896 29496336 33183378 39328448 44244504 58992672 66366756 78656896 88489008 117985344 132733512 157313792 176978016 235970688 265467024 353956032 471941376 530934048 707912064 1061868096 1415824128 2123736192 4247472384