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53380314 = 232131571453
BaseRepresentation
bin1100101110100…
…0010011011010
310201110000000200
43023220103122
5102131132224
65144043030
71215503511
oct313502332
9121400020
1053380314
112814a469
1215a63476
13b09cbb0
147137678
154a465c9
hex32e84da

53380314 has 48 divisors (see below), whose sum is σ = 125433672. Its totient is φ = 16308864.

The previous prime is 53380303. The next prime is 53380333. The reversal of 53380314 is 41308335.

It is a happy number.

53380314 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 46009089 + 7371225 = 6783^2 + 2715^2 .

It is an unprimeable number.

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, 36012 + ... + 37464.

Almost surely, 253380314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53380314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62716836).

53380314 is an abundant number, since it is smaller than the sum of its proper divisors (72053358).

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

53380314 is a wasteful number, since it uses less digits than its factorization.

53380314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53380314 is about 7306.1832717227. The cubic root of 53380314 is about 376.5249053645.

Adding to 53380314 its reverse (41308335), we get a palindrome (94688649).

The spelling of 53380314 in words is "fifty-three million, three hundred eighty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 157 234 314 471 942 1413 1453 2041 2826 2906 4082 4359 6123 8718 12246 13077 18369 18889 26154 36738 37778 56667 113334 170001 228121 340002 456242 684363 1368726 2053089 2965573 4106178 5931146 8896719 17793438 26690157 53380314