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4159992 = 2332943139
BaseRepresentation
bin1111110111100111111000
321211100102210
433313213320
52031104432
6225055120
750234154
oct17674770
97740383
104159992
112391511
1214874a0
13b28645
147a4064
155728cc
hex3f79f8

4159992 has 64 divisors (see below), whose sum is σ = 11088000. Its totient is φ = 1298304.

The previous prime is 4159979. The next prime is 4159997. The reversal of 4159992 is 2999514.

4159992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (29160) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 4159992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4159997) 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, 29859 + ... + 29997.

It is an arithmetic number, because the mean of its divisors is an integer number (173250).

Almost surely, 24159992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4159992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544000).

4159992 is an abundant number, since it is smaller than the sum of its proper divisors (6928008).

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

4159992 is a wasteful number, since it uses less digits than its factorization.

4159992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 4159992 is about 2039.6058442748. The cubic root of 4159992 is about 160.8289272480.

It can be divided in two parts, 4159 and 992, that added together give a triangular number (5151 = T101).

The spelling of 4159992 in words is "four million, one hundred fifty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 139 172 174 232 258 278 344 348 417 516 556 696 834 1032 1112 1247 1668 2494 3336 3741 4031 4988 5977 7482 8062 9976 11954 12093 14964 16124 17931 23908 24186 29928 32248 35862 47816 48372 71724 96744 143448 173333 346666 519999 693332 1039998 1386664 2079996 4159992