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2533430406 = 2313176131321
BaseRepresentation
bin1001011100000001…
…0001010010000110
320112120002121011210
42113000101102012
520142024233111
61055220112250
7116531542323
oct22700212206
96476077153
102533430406
111090067841
125a8535686
13314b35960
141a0673b4a
15ec6310a6
hex97011486

2533430406 has 64 divisors (see below), whose sum is σ = 5872499136. Its totient is φ = 721612800.

The previous prime is 2533430399. The next prime is 2533430407. The reversal of 2533430406 is 6040343352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2533430407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65226 + ... + 96546.

It is an arithmetic number, because the mean of its divisors is an integer number (91757799).

Almost surely, 22533430406 is an apocalyptic number.

2533430406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2533430406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936249568).

2533430406 is an abundant number, since it is smaller than the sum of its proper divisors (3339068730).

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

2533430406 is a wasteful number, since it uses less digits than its factorization.

2533430406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31417.

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 2533430406 is about 50333.1938783940. The cubic root of 2533430406 is about 1363.2316469505.

Adding to 2533430406 its reverse (6040343352), we get a palindrome (8573773758).

The spelling of 2533430406 in words is "two billion, five hundred thirty-three million, four hundred thirty thousand, four hundred six".

Divisors: 1 2 3 6 13 17 26 34 39 51 61 78 102 122 183 221 366 442 663 793 1037 1326 1586 2074 2379 3111 4758 6222 13481 26962 31321 40443 62642 80886 93963 187926 407173 532457 814346 1064914 1221519 1597371 1910581 2443038 3194742 3821162 5731743 6921941 11463486 13843882 20765823 24837553 32479877 41531646 49675106 64959754 74512659 97439631 149025318 194879262 422238401 844476802 1266715203 2533430406