Search a number
-
+
4268420933 = 71794098329
BaseRepresentation
bin1111111001101010…
…1110111101000101
3102000110210020202012
43332122232331011
532220203432213
61543315024005
7210526656620
oct37632567505
912013706665
104268420933
1118a0459907
129b159b005
1353041387a
142c6c66db7
1519eae74a8
hexfe6aef45

4268420933 has 16 divisors (see below), whose sum is σ = 4918032000. Its totient is φ = 3628876032.

The previous prime is 4268420921. The next prime is 4268421007. The reversal of 4268420933 is 3390248624.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4268420933 - 220 = 4267372357 is a prime.

It is a super-3 number, since 3×42684209333 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268425933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508313 + ... + 516641.

It is an arithmetic number, because the mean of its divisors is an integer number (307377000).

Almost surely, 24268420933 is an apocalyptic number.

It is an amenable number.

4268420933 is a deficient number, since it is larger than the sum of its proper divisors (649611067).

4268420933 is a wasteful number, since it uses less digits than its factorization.

4268420933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924.

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 4268420933 is about 65333.1533985617. The cubic root of 4268420933 is about 1622.1427892406.

The spelling of 4268420933 in words is "four billion, two hundred sixty-eight million, four hundred twenty thousand, nine hundred thirty-three".

Divisors: 1 7 179 409 1253 2863 8329 58303 73211 512477 1490891 3406561 10436237 23845927 609774419 4268420933