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2002401427 = 13537140933
BaseRepresentation
bin111011101011010…
…0011100010010011
312011112212112100211
41313112203202103
513100103321202
6530410224551
7100423063015
oct16726434223
95145775324
102002401427
11938337914
1247a725157
1325bb08420
1414dd221b5
15babd91d7
hex775a3893

2002401427 has 16 divisors (see below), whose sum is σ = 2228119488. Its totient is φ = 1787909760.

The previous prime is 2002401421. The next prime is 2002401437. The reversal of 2002401427 is 7241042002.

It is a happy number.

It is not a de Polignac number, because 2002401427 - 227 = 1868183699 is a prime.

It is a super-2 number, since 2×20024014272 = 8019222949703272658, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002401398 and 2002401407.

It is not an unprimeable number, because it can be changed into a prime (2002401421) 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 15 ways as a sum of consecutive naturals, for example, 28453 + ... + 69385.

It is an arithmetic number, because the mean of its divisors is an integer number (139257468).

Almost surely, 22002401427 is an apocalyptic number.

2002401427 is a deficient number, since it is larger than the sum of its proper divisors (225718061).

2002401427 is a wasteful number, since it uses less digits than its factorization.

2002401427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41070.

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 2002401427 is about 44748.2002654855. The cubic root of 2002401427 is about 1260.4251162734.

Adding to 2002401427 its reverse (7241042002), we get a palindrome (9243443429).

The spelling of 2002401427 in words is "two billion, two million, four hundred one thousand, four hundred twenty-seven".

Divisors: 1 13 53 71 689 923 3763 40933 48919 532129 2169449 2906243 28202837 37781159 154030879 2002401427