Search a number
-
+
396142428 = 2231131131739
BaseRepresentation
bin10111100111001…
…010011101011100
31000121102010020210
4113213022131130
51302403024203
6103150412420
712550104123
oct2747123534
91017363223
10396142428
11193680740
12b0801110
13640c0806
143a87caba
1524ba0803
hex179ca75c

396142428 has 96 divisors (see below), whose sum is σ = 1050255360. Its totient is φ = 115128000.

The previous prime is 396142427. The next prime is 396142433. The reversal of 396142428 is 824241693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396142421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535683 + ... + 536421.

It is an arithmetic number, because the mean of its divisors is an integer number (10940160).

Almost surely, 2396142428 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 396142428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525127680).

396142428 is an abundant number, since it is smaller than the sum of its proper divisors (654112932).

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

396142428 is a wasteful number, since it uses less digits than its factorization.

396142428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 396142428 is about 19903.3270585598. The cubic root of 396142428 is about 734.4300751041.

The spelling of 396142428 in words is "three hundred ninety-six million, one hundred forty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 131 132 186 262 341 372 393 524 682 739 786 1023 1364 1441 1478 1572 2046 2217 2882 2956 4061 4092 4323 4434 5764 8122 8129 8646 8868 12183 16244 16258 17292 22909 24366 24387 32516 44671 45818 48732 48774 68727 89342 91636 96809 97548 134013 137454 178684 193618 251999 268026 274908 290427 387236 503998 536052 580854 755997 1007996 1064899 1161708 1511994 2129798 3001079 3023988 3194697 4259596 6002158 6389394 9003237 12004316 12778788 18006474 33011869 36012948 66023738 99035607 132047476 198071214 396142428