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55362793 = 536171693
BaseRepresentation
bin1101001100110…
…0010011101001
310212011201110211
43103030103221
5103133102133
65254341121
71241401363
oct323142351
9125151424
1055362793
1129283982
121665a7a1
13b615365
1474d1d33
154cd8bcd
hex34cc4e9

55362793 has 8 divisors (see below), whose sum is σ = 56532168. Its totient is φ = 54198144.

The previous prime is 55362781. The next prime is 55362799. The reversal of 55362793 is 39726355.

55362793 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1075369 + 54287424 = 1037^2 + 7368^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 55362793 - 225 = 21808361 is a prime.

It is a super-3 number, since 3×553627933 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55362799) 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 7 ways as a sum of consecutive naturals, for example, 31855 + ... + 33547.

It is an arithmetic number, because the mean of its divisors is an integer number (7066521).

Almost surely, 255362793 is an apocalyptic number.

55362793 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

55362793 is a deficient number, since it is larger than the sum of its proper divisors (1169375).

55362793 is a wasteful number, since it uses less digits than its factorization.

55362793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363.

The product of its digits is 170100, while the sum is 40.

The square root of 55362793 is about 7440.6177834908. The cubic root of 55362793 is about 381.1295866974.

The spelling of 55362793 in words is "fifty-five million, three hundred sixty-two thousand, seven hundred ninety-three".

Divisors: 1 53 617 1693 32701 89729 1044581 55362793