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4192283256 = 2337233107099
BaseRepresentation
bin1111100111100001…
…0010101001111000
3101211011112001111020
43321320102221320
532041211031011
61531555102440
7205613551110
oct37170225170
911734461436
104192283256
111861486507
1298bba1a20
1351a7064a5
142baac8040
151980a8006
hexf9e12a78

4192283256 has 64 divisors (see below), whose sum is σ = 12029472000. Its totient is φ = 1192643328.

The previous prime is 4192283243. The next prime is 4192283273. The reversal of 4192283256 is 6523822914.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14406 + ... + 92693.

It is an arithmetic number, because the mean of its divisors is an integer number (187960500).

Almost surely, 24192283256 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 4192283256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736000).

4192283256 is an abundant number, since it is smaller than the sum of its proper divisors (7837188744).

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

4192283256 is a wasteful number, since it uses less digits than its factorization.

4192283256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107348 (or 107344 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 4192283256 is about 64747.8436397692. The cubic root of 4192283256 is about 1612.4399119968.

The spelling of 4192283256 in words is "four billion, one hundred ninety-two million, two hundred eighty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 699 932 1398 1631 1864 2796 3262 4893 5592 6524 9786 13048 19572 39144 107099 214198 321297 428396 642594 749693 856792 1285188 1499386 2249079 2570376 2998772 4498158 5997544 8996316 17992632 24954067 49908134 74862201 99816268 149724402 174678469 199632536 299448804 349356938 524035407 598897608 698713876 1048070814 1397427752 2096141628 4192283256