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1552400213 = 72132437049
BaseRepresentation
bin101110010000111…
…1011111101010101
311000012010002202012
41130201323331111
511134403301323
6414013154005
753320120100
oct13441737525
94005102665
101552400213
11727320291
12373a8b905
131b980b010
1410a263737
159144a678
hex5c87bf55

1552400213 has 12 divisors (see below), whose sum is σ = 1944765900. Its totient is φ = 1228272192.

The previous prime is 1552400197. The next prime is 1552400219. The reversal of 1552400213 is 3120042551.

It can be written as a sum of positive squares in 2 ways, for example, as 76073284 + 1476326929 = 8722^2 + 38423^2 .

It is not a de Polignac number, because 1552400213 - 24 = 1552400197 is a prime.

It is a super-3 number, since 3×15524002133 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1552400219) 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 11 ways as a sum of consecutive naturals, for example, 1217888 + ... + 1219161.

It is an arithmetic number, because the mean of its divisors is an integer number (162063825).

Almost surely, 21552400213 is an apocalyptic number.

1552400213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1552400213 is a deficient number, since it is larger than the sum of its proper divisors (392365687).

1552400213 is a wasteful number, since it uses less digits than its factorization.

1552400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437076 (or 2437069 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1552400213 is about 39400.5103139541. The cubic root of 1552400213 is about 1157.8915854984.

Adding to 1552400213 its reverse (3120042551), we get a palindrome (4672442764).

The spelling of 1552400213 in words is "one billion, five hundred fifty-two million, four hundred thousand, two hundred thirteen".

Divisors: 1 7 13 49 91 637 2437049 17059343 31681637 119415401 221771459 1552400213