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999242946 = 233131923943
BaseRepresentation
bin111011100011110…
…011110011000010
32120122020210122000
4323203303303002
54021301233241
6243053124430
733522265512
oct7343636302
92518223560
10999242946
11473057019
1223a789716
1312c033720
14969d1842
155cad1eb6
hex3b8f3cc2

999242946 has 96 divisors (see below), whose sum is σ = 2524475520. Its totient is φ = 291203424.

The previous prime is 999242929. The next prime is 999242947. The reversal of 999242946 is 649242999.

999242946 is a `hidden beast` number, since 99 + 92 + 429 + 46 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 999242892 and 999242901.

It is not an unprimeable number, because it can be changed into a prime (999242947) 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 47 ways as a sum of consecutive naturals, for example, 251451 + ... + 255393.

It is an arithmetic number, because the mean of its divisors is an integer number (26296620).

Almost surely, 2999242946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999242946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262237760).

999242946 is an abundant number, since it is smaller than the sum of its proper divisors (1525232574).

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

999242946 is a wasteful number, since it uses less digits than its factorization.

999242946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3980 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 999242946 is about 31610.8042605689. The cubic root of 999242946 is about 999.7475849587.

The spelling of 999242946 in words is "nine hundred ninety-nine million, two hundred forty-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 361 494 513 702 722 741 1026 1083 1482 2166 2223 3249 3943 4446 4693 6498 6669 7886 9386 9747 11829 13338 14079 19494 23658 28158 35487 42237 51259 70974 74917 84474 102518 106461 126711 149834 153777 212922 224751 253422 307554 449502 461331 674253 922662 973921 1348506 1383993 1423423 1947842 2022759 2767986 2846846 2921763 4045518 4270269 5843526 8540538 8765289 12810807 17530578 18504499 25621614 26295867 37008998 38432421 52591734 55513497 76864842 111026994 166540491 333080982 499621473 999242946