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4247714000 = 245319710781
BaseRepresentation
bin1111110100101110…
…1111100011010000
3101222000211020011202
43331023233203100
532144403322000
61541255130332
7210155654555
oct37513574320
911860736152
104247714000
11188a7a6442
129a66739a8
1352904374a
142c41d6a2c
1519cda6dd5
hexfd2ef8d0

4247714000 has 80 divisors (see below), whose sum is σ = 10324066896. Its totient is φ = 1690304000.

The previous prime is 4247713969. The next prime is 4247714011. The reversal of 4247714000 is 4177424.

It can be written as a sum of positive squares in 8 ways, for example, as 625600144 + 3622113856 = 25012^2 + 60184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388610 + ... + 399390.

Almost surely, 24247714000 is an apocalyptic number.

4247714000 is a gapful number since it is divisible by the number (40) 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 4247714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162033448).

4247714000 is an abundant number, since it is smaller than the sum of its proper divisors (6076352896).

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

4247714000 is a wasteful number, since it uses less digits than its factorization.

4247714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 4247714000 is about 65174.4888740986. The cubic root of 4247714000 is about 1619.5154268826.

The spelling of 4247714000 in words is "four billion, two hundred forty-seven million, seven hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 788 985 1000 1576 1970 2000 3152 3940 4925 7880 9850 10781 15760 19700 21562 24625 39400 43124 49250 53905 78800 86248 98500 107810 172496 197000 215620 269525 394000 431240 539050 862480 1078100 1347625 2123857 2156200 2695250 4247714 4312400 5390500 8495428 10619285 10781000 16990856 21238570 21562000 33981712 42477140 53096425 84954280 106192850 169908560 212385700 265482125 424771400 530964250 849542800 1061928500 2123857000 4247714000