Search a number
-
+
4073215644 = 2232541720887
BaseRepresentation
bin1111001011001000…
…0101011010011100
3101111212110210102200
43302302011122130
531320220400034
61512103051500
7202636522161
oct36262053234
911455423380
104073215644
111800251223
12958140b90
134cbb47a94
142a8d72068
1518c8d8a99
hexf2c8569c

4073215644 has 36 divisors (see below), whose sum is σ = 10298577744. Its totient is φ = 1357422912.

The previous prime is 4073215609. The next prime is 4073215681. The reversal of 4073215644 is 4465123704.

4073215644 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 2 + 1 + 5 + 644 = 666.

4073215644 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4073215599 and 4073215608.

It is a congruent number.

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, 184569 + ... + 205455.

It is an arithmetic number, because the mean of its divisors is an integer number (286071604).

Almost surely, 24073215644 is an apocalyptic number.

It is an amenable number.

4073215644 is an abundant number, since it is smaller than the sum of its proper divisors (6225362100).

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

4073215644 is a wasteful number, since it uses less digits than its factorization.

4073215644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26314 (or 26309 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4073215644 is about 63821.7489888831. The cubic root of 4073215644 is about 1597.0277690501.

The spelling of 4073215644 in words is "four billion, seventy-three million, two hundred fifteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 5417 10834 16251 20887 21668 32502 41774 48753 62661 65004 83548 97506 125322 187983 195012 250644 375966 751932 113144879 226289758 339434637 452579516 678869274 1018303911 1357738548 2036607822 4073215644