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53399736 = 2335132113
BaseRepresentation
bin1100101110110…
…1000010111000
310201110222200000
43023231002320
5102132242421
65144313000
71215614235
oct313550270
9121428600
1053399736
1128163015
1215a72760
13b0a89a0
14714078c
154a4c226
hex32ed0b8

53399736 has 96 divisors (see below), whose sum is σ = 161594160. Its totient is φ = 16422912.

The previous prime is 53399713. The next prime is 53399777. The reversal of 53399736 is 63799335.

53399736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53399691 and 53399700.

It is a congruent number.

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, 24216 + ... + 26328.

Almost surely, 253399736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53399736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80797080).

53399736 is an abundant number, since it is smaller than the sum of its proper divisors (108194424).

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

53399736 is a wasteful number, since it uses less digits than its factorization.

53399736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2131 counting only the distinct ones).

The product of its digits is 459270, while the sum is 45.

The square root of 53399736 is about 7307.5122989975. The cubic root of 53399736 is about 376.5705650184.

The spelling of 53399736 in words is "fifty-three million, three hundred ninety-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2113 2808 3159 4212 4226 6318 6339 8424 8452 12636 12678 16904 19017 25272 25356 27469 38034 50712 54938 57051 76068 82407 109876 114102 152136 164814 171153 219752 228204 247221 329628 342306 456408 494442 513459 659256 684612 741663 988884 1026918 1369224 1483326 1977768 2053836 2224989 2966652 4107672 4449978 5933304 6674967 8899956 13349934 17799912 26699868 53399736