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402312042 = 233111943829
BaseRepresentation
bin10111111110101…
…100101101101010
31001001000120101000
4113332230231222
51310442441132
6103530535430
712653411256
oct2776545552
91031016330
10402312042
11197104aa0
12b2897576
1365470a82
143b607266
15254bd87c
hex17facb6a

402312042 has 128 divisors (see below), whose sum is σ = 1051776000. Its totient is φ = 112674240.

The previous prime is 402312037. The next prime is 402312047. The reversal of 402312042 is 240213204.

It is an interprime number because it is at equal distance from previous prime (402312037) and next prime (402312047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (402312047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484884 + ... + 485712.

It is an arithmetic number, because the mean of its divisors is an integer number (8217000).

Almost surely, 2402312042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402312042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525888000).

402312042 is an abundant number, since it is smaller than the sum of its proper divisors (649463958).

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

402312042 is a wasteful number, since it uses less digits than its factorization.

402312042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 402312042 is about 20057.7177664858. The cubic root of 402312042 is about 738.2231792460.

Adding to 402312042 its reverse (240213204), we get a palindrome (642525246).

The spelling of 402312042 in words is "four hundred two million, three hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 43 54 57 66 86 99 114 129 171 198 209 258 297 342 387 418 473 513 594 627 774 817 829 946 1026 1161 1254 1419 1634 1658 1881 2322 2451 2487 2838 3762 4257 4902 4974 5643 7353 7461 8514 8987 9119 11286 12771 14706 14922 15751 17974 18238 22059 22383 25542 26961 27357 31502 35647 44118 44766 47253 53922 54714 71294 80883 82071 94506 106941 141759 161766 164142 173261 213882 242649 246213 283518 320823 346522 392117 425277 485298 492426 519783 641646 677293 784234 850554 962469 1039566 1176351 1354586 1559349 1924938 2031879 2352702 3118698 3529053 4063758 4678047 6095637 7058106 7450223 9356094 10587159 12191274 14900446 18286911 21174318 22350669 36573822 44701338 67052007 134104014 201156021 402312042