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400006002 = 231147128951
BaseRepresentation
bin10111110101111…
…001101101110010
31000212200102002010
4113311321231302
51304400143002
6103405303350
712624665154
oct2765715562
91025612063
10400006002
1119587a480
12b1b64b56
1364b44256
143b1a6ad4
15251b546c
hex17d79b72

400006002 has 32 divisors (see below), whose sum is σ = 891316224. Its totient is φ = 118634000.

The previous prime is 400005973. The next prime is 400006003. The reversal of 400006002 is 200600004.

It is not an unprimeable number, because it can be changed into a prime (400006003) 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 15 ways as a sum of consecutive naturals, for example, 61374 + ... + 67577.

It is an arithmetic number, because the mean of its divisors is an integer number (27853632).

Almost surely, 2400006002 is an apocalyptic number.

400006002 is an abundant number, since it is smaller than the sum of its proper divisors (491310222).

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

400006002 is a wasteful number, since it uses less digits than its factorization.

400006002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129014.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 400006002 is about 20000.1500494371. The cubic root of 400006002 is about 736.8099849692.

Adding to 400006002 its reverse (200600004), we get a palindrome (600606006).

The spelling of 400006002 in words is "four hundred million, six thousand, two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 3102 128951 257902 386853 773706 1418461 2836922 4255383 6060697 8510766 12121394 18182091 36364182 66667667 133335334 200003001 400006002