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400240442 = 27314183271
BaseRepresentation
bin10111110110110…
…010111100111010
31000220010022200002
4113312302330322
51304430143232
6103414313002
712626662520
oct2766627472
91026108602
10400240442
11195a1a628
12b2058762
1364bc6b84
143b228310
152520eb62
hex17db2f3a

400240442 has 64 divisors (see below), whose sum is σ = 736985088. Its totient is φ = 159408000.

The previous prime is 400240439. The next prime is 400240493. The reversal of 400240442 is 244042004.

It is a super-2 number, since 2×4002404422 = 320384822824710728, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1476767 + ... + 1477037.

It is an arithmetic number, because the mean of its divisors is an integer number (11515392).

Almost surely, 2400240442 is an apocalyptic number.

400240442 is a deficient number, since it is larger than the sum of its proper divisors (336744646).

400240442 is a wasteful number, since it uses less digits than its factorization.

400240442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 400240442 is about 20006.0101469533. The cubic root of 400240442 is about 736.9539028073.

Adding to 400240442 its reverse (244042004), we get a palindrome (644282446).

It can be divided in two parts, 4002 and 40442, that added together give a palindrome (44444).

The spelling of 400240442 in words is "four hundred million, two hundred forty thousand, four hundred forty-two".

Divisors: 1 2 7 14 31 41 62 82 83 166 217 271 287 434 542 574 581 1162 1271 1897 2542 2573 3403 3794 5146 6806 8401 8897 11111 16802 17794 18011 22222 22493 23821 36022 44986 47642 58807 77777 105493 117614 155554 157451 210986 314902 344441 688882 697283 738451 922213 1394566 1476902 1844426 2411087 4822174 4880981 6455491 9761962 12910982 28588603 57177206 200120221 400240442