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4227291972 = 2232233503969
BaseRepresentation
bin1111101111110111…
…0101101101000100
3101220121101200102100
43323331311231010
532124141320342
61535245312100
7206520250251
oct37375655504
911817350370
104227291972
11187a218032
1299b865630
13524a431c7
142c15dc428
1519b1c0e4c
hexfbf75b44

4227291972 has 36 divisors (see below), whose sum is σ = 10731537180. Its totient is φ = 1403046912.

The previous prime is 4227291889. The next prime is 4227291997. The reversal of 4227291972 is 2791927224.

It is a happy number.

4227291972 is a `hidden beast` number, since 422 + 72 + 91 + 9 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2048829696 + 2178462276 = 45264^2 + 46674^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243597 + ... + 260372.

It is an arithmetic number, because the mean of its divisors is an integer number (298098255).

Almost surely, 24227291972 is an apocalyptic number.

It is an amenable number.

4227291972 is an abundant number, since it is smaller than the sum of its proper divisors (6504245208).

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

4227291972 is a wasteful number, since it uses less digits than its factorization.

4227291972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504212 (or 504207 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 4227291972 is about 65017.6281634450. The cubic root of 4227291972 is about 1616.9158376184.

The spelling of 4227291972 in words is "four billion, two hundred twenty-seven million, two hundred ninety-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 503969 1007938 1511907 2015876 3023814 4535721 6047628 9071442 18142884 117424777 234849554 352274331 469699108 704548662 1056822993 1409097324 2113645986 4227291972