[go: up one dir, main page]

Search a number
-
+
52083108 = 22337116263
BaseRepresentation
bin1100011010101…
…1100110100100
310122000002121000
43012223212210
5101313124413
65100153300
71201461540
oct306534644
9118002530
1052083108
11274438a0
1215538830
13aa3760c
146cbaa20
15488c073
hex31ab9a4

52083108 has 96 divisors (see below), whose sum is σ = 168376320. Its totient is φ = 13525920.

The previous prime is 52083103. The next prime is 52083113. The reversal of 52083108 is 80138025.

It is a happy number.

52083108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52083103) and next prime (52083113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52083103) 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 31 ways as a sum of consecutive naturals, for example, 5185 + ... + 11447.

It is an arithmetic number, because the mean of its divisors is an integer number (1753920).

Almost surely, 252083108 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 52083108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188160).

52083108 is an abundant number, since it is smaller than the sum of its proper divisors (116293212).

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

52083108 is a wasteful number, since it uses less digits than its factorization.

52083108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 52083108 is about 7216.8627533022. The cubic root of 52083108 is about 373.4498569804.

The spelling of 52083108 in words is "fifty-two million, eighty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 6263 8316 12526 18789 25052 37578 43841 56367 68893 75156 87682 112734 131523 137786 169101 175364 206679 225468 263046 275572 338202 394569 413358 482251 526092 620037 676404 789138 826716 964502 1183707 1240074 1446753 1578276 1860111 1929004 2367414 2480148 2893506 3720222 4340259 4734828 5787012 7440444 8680518 13020777 17361036 26041554 52083108