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55642013 = 719297227
BaseRepresentation
bin1101010001000…
…0011110011101
310212200220111022
43110100132131
5103221021023
65304333525
71243643420
oct324203635
9125626438
1055642013
1129454739
12167742a5
13b6b248b
1475659b7
154d417c8
hex351079d

55642013 has 24 divisors (see below), whose sum is σ = 68104512. Its totient is φ = 44520192.

The previous prime is 55642007. The next prime is 55642019. The reversal of 55642013 is 31024655.

55642013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55642007) and next prime (55642019).

It is not a de Polignac number, because 55642013 - 210 = 55640989 is a prime.

It is a super-2 number, since 2×556420132 = 6192067221384338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55642019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245006 + ... + 245232.

It is an arithmetic number, because the mean of its divisors is an integer number (2837688).

Almost surely, 255642013 is an apocalyptic number.

It is an amenable number.

55642013 is a deficient number, since it is larger than the sum of its proper divisors (12462499).

55642013 is a wasteful number, since it uses less digits than its factorization.

55642013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 55642013 is about 7459.3574120027. The cubic root of 55642013 is about 381.7692497298.

Adding to 55642013 its reverse (31024655), we get a palindrome (86666668).

The spelling of 55642013 in words is "fifty-five million, six hundred forty-two thousand, thirteen".

Divisors: 1 7 19 97 133 227 361 679 1589 1843 2527 4313 12901 22019 30191 35017 81947 154133 245119 418361 573629 2928527 7948859 55642013