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4016397852 = 2233194919081
BaseRepresentation
bin1110111101100101…
…0101111000011100
3101100220120011002000
43233121111320130
531211144212402
61502313202300
7201346550505
oct35731257034
911326504060
104016397852
111781174175
12941100390
134c014339c
142a15c1bac
15187913c1c
hexef655e1c

4016397852 has 48 divisors (see below), whose sum is σ = 10418772000. Its totient is φ = 1338042240.

The previous prime is 4016397797. The next prime is 4016397881. The reversal of 4016397852 is 2587936104.

4016397852 is a `hidden beast` number, since 4 + 0 + 1 + 639 + 7 + 8 + 5 + 2 = 666.

4016397852 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40163978522 = 32262903411100427808, which contains 22 as substring.

4016397852 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4016397798 and 4016397807.

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, 200952 + ... + 220032.

It is an arithmetic number, because the mean of its divisors is an integer number (217057750).

It is a 1-persistent number, because it is pandigital, but 2⋅4016397852 = 8032795704 is not.

Almost surely, 24016397852 is an apocalyptic number.

It is an amenable number.

4016397852 is an abundant number, since it is smaller than the sum of its proper divisors (6402374148).

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

4016397852 is a wasteful number, since it uses less digits than its factorization.

4016397852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21043 (or 21035 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4016397852 is about 63375.0570177258. The cubic root of 4016397852 is about 1589.5672585243.

The spelling of 4016397852 in words is "four billion, sixteen million, three hundred ninety-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1949 3898 5847 7796 11694 17541 19081 23388 35082 38162 52623 57243 70164 76324 105246 114486 171729 210492 228972 343458 515187 686916 1030374 2060748 37188869 74377738 111566607 148755476 223133214 334699821 446266428 669399642 1004099463 1338799284 2008198926 4016397852