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53779338 = 2324616481
BaseRepresentation
bin1100110100100…
…1101110001010
310202012021101100
43031021232022
5102231414323
65200402230
71222055034
oct315115612
9122167340
1053779338
11283a2238
1216016376
13b1ac6c2
1471dcc54
154ac4943
hex3349b8a

53779338 has 24 divisors (see below), whose sum is σ = 116792676. Its totient is φ = 17884800.

The previous prime is 53779337. The next prime is 53779343. The reversal of 53779338 is 83397735.

53779338 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 2 ways, for example, as 51883209 + 1896129 = 7203^2 + 1377^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53779293 and 53779302.

It is not an unprimeable number, because it can be changed into a prime (53779333) 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 11 ways as a sum of consecutive naturals, for example, 5058 + ... + 11538.

Almost surely, 253779338 is an apocalyptic number.

53779338 is an abundant number, since it is smaller than the sum of its proper divisors (63013338).

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

53779338 is a wasteful number, since it uses less digits than its factorization.

53779338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6947 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 53779338 is about 7333.4397113496. The cubic root of 53779338 is about 377.4607663566.

The spelling of 53779338 in words is "fifty-three million, seven hundred seventy-nine thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 461 922 1383 2766 4149 6481 8298 12962 19443 38886 58329 116658 2987741 5975482 8963223 17926446 26889669 53779338