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4254126642 = 23522738561
BaseRepresentation
bin1111110110010000…
…1101001000110010
3101222110220000200000
43331210031020302
532203024023032
61542044410430
7210264323403
oct37544151062
911873800600
104254126642
111893386347
129a8846a16
1352a47a4cc
142c4dc59aa
1519d721e7c
hexfd90d232

4254126642 has 48 divisors (see below), whose sum is σ = 9601012512. Its totient is φ = 1411758720.

The previous prime is 4254126601. The next prime is 4254126647. The reversal of 4254126642 is 2466214524.

4254126642 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 1 + 2 + 6 + 642 = 666.

4254126642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4254126597 and 4254126606.

It is not an unprimeable number, because it can be changed into a prime (4254126647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91042 + ... + 129602.

It is an arithmetic number, because the mean of its divisors is an integer number (200021094).

Almost surely, 24254126642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4254126642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800506256).

4254126642 is an abundant number, since it is smaller than the sum of its proper divisors (5346885870).

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

4254126642 is a wasteful number, since it uses less digits than its factorization.

4254126642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38805 (or 38793 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4254126642 is about 65223.6662722972. Note that the first 3 decimals coincide. The cubic root of 4254126642 is about 1620.3299945038.

The spelling of 4254126642 in words is "four billion, two hundred fifty-four million, one hundred twenty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 227 243 454 486 681 1362 2043 4086 6129 12258 18387 36774 38561 55161 77122 110322 115683 231366 347049 694098 1041147 2082294 3123441 6246882 8753347 9370323 17506694 18740646 26260041 52520082 78780123 157560246 236340369 472680738 709021107 1418042214 2127063321 4254126642