Search a number
-
+
4005162207 = 3516482149
BaseRepresentation
bin1110111010111001…
…1110110011011111
3101100010102022200000
43232232132303133
531200310142312
61501232305343
7201152213514
oct35656366337
911303368600
104005162207
11177589a712
129393a2253
134baa0b287
1429dcd930b
15186944adc
hexeeb9ecdf

4005162207 has 12 divisors (see below), whose sum is σ = 5999502600. Its totient is φ = 2670107976.

The previous prime is 4005162173. The next prime is 4005162221. The reversal of 4005162207 is 7022615004.

4005162207 is a `hidden beast` number, since 400 + 51 + 6 + 2 + 207 = 666.

It is not a de Polignac number, because 4005162207 - 26 = 4005162143 is a prime.

It is a super-2 number, since 2×40051622072 = 32082648608762221698, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005162607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8240832 + ... + 8241317.

It is an arithmetic number, because the mean of its divisors is an integer number (499958550).

Almost surely, 24005162207 is an apocalyptic number.

4005162207 is a deficient number, since it is larger than the sum of its proper divisors (1994340393).

4005162207 is an equidigital number, since it uses as much as digits as its factorization.

4005162207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16482164 (or 16482152 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4005162207 is about 63286.3508744184. The cubic root of 4005162207 is about 1588.0836328189.

It can be divided in two parts, 4005 and 162207, that multiplied together give a triangular number (649639035 = T36045).

The spelling of 4005162207 in words is "four billion, five million, one hundred sixty-two thousand, two hundred seven".

Divisors: 1 3 9 27 81 243 16482149 49446447 148339341 445018023 1335054069 4005162207