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4258234368 = 215334813
BaseRepresentation
bin1111110111001111…
…1000000000000000
3101222202121201102000
43331303320000000
532210101444433
61542312424000
7210344252313
oct37563700000
911882551360
104258234368
111895731563
129aa0a8000
1352b28810b
142c577497a
1519dc84113
hexfdcf8000

4258234368 has 128 divisors (see below), whose sum is σ = 12619419600. Its totient is φ = 1419116544.

The previous prime is 4258234363. The next prime is 4258234403. The reversal of 4258234368 is 8634328524.

4258234368 is a `hidden beast` number, since 4 + 2 + 58 + 234 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4258234361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882330 + ... + 887142.

Almost surely, 24258234368 is an apocalyptic number.

4258234368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4258234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309709800).

4258234368 is an abundant number, since it is smaller than the sum of its proper divisors (8361185232).

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

4258234368 is an frugal number, since it uses more digits than its factorization.

4258234368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4818 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4258234368 is about 65255.1482106968. The cubic root of 4258234368 is about 1620.8513494989.

The spelling of 4258234368 in words is "four billion, two hundred fifty-eight million, two hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 4813 6144 6912 8192 9216 9626 12288 13824 14439 16384 18432 19252 24576 27648 28878 32768 36864 38504 43317 49152 55296 57756 73728 77008 86634 98304 110592 115512 129951 147456 154016 173268 221184 231024 259902 294912 308032 346536 442368 462048 519804 616064 693072 884736 924096 1039608 1232128 1386144 1848192 2079216 2464256 2772288 3696384 4158432 4928512 5544576 7392768 8316864 9857024 11089152 14785536 16633728 19714048 22178304 29571072 33267456 39428096 44356608 59142144 66534912 78856192 88713216 118284288 133069824 157712384 177426432 236568576 266139648 354852864 473137152 532279296 709705728 1064558592 1419411456 2129117184 4258234368