Search a number
-
+
53398338 = 2372296263
BaseRepresentation
bin1100101110110…
…0101101000010
310201110220202020
43023230231002
5102132221323
65144302310
71215610200
oct313545502
9121426666
1053398338
1128161a64
1215a71996
13b0a8166
147140070
154a4bae3
hex32ecb42

53398338 has 48 divisors (see below), whose sum is σ = 128537280. Its totient is φ = 14728224.

The previous prime is 53398327. The next prime is 53398339. The reversal of 53398338 is 83389335.

53398338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 53398338.

It is not an unprimeable number, because it can be changed into a prime (53398339) 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, 5395 + ... + 11657.

It is an arithmetic number, because the mean of its divisors is an integer number (2677860).

Almost surely, 253398338 is an apocalyptic number.

53398338 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53398338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64268640).

53398338 is an abundant number, since it is smaller than the sum of its proper divisors (75138942).

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

53398338 is a wasteful number, since it uses less digits than its factorization.

53398338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311 (or 6304 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 53398338 is about 7307.4166433836. The cubic root of 53398338 is about 376.5672787959.

The spelling of 53398338 in words is "fifty-three million, three hundred ninety-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1218 1421 2842 4263 6263 8526 12526 18789 37578 43841 87682 131523 181627 263046 306887 363254 544881 613774 920661 1089762 1271389 1841322 2542778 3814167 7628334 8899723 17799446 26699169 53398338