Search a number
-
+
52345992 = 2331727547
BaseRepresentation
bin1100011110101…
…1110010001000
310122111110012110
43013223302020
5101400032432
65105542320
71203635136
oct307536210
9118443173
1052345992
1127603356
12156449a0
13aaca17a
146d48756
1548dedcc
hex31ebc88

52345992 has 48 divisors (see below), whose sum is σ = 139034160. Its totient is φ = 16420096.

The previous prime is 52345981. The next prime is 52346003. The reversal of 52345992 is 29954325.

52345992 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 (52345981) and next prime (52346003).

It is a self number, because there is not a number n which added to its sum of digits gives 52345992.

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 11 ways as a sum of consecutive naturals, for example, 3163 + ... + 10709.

It is an arithmetic number, because the mean of its divisors is an integer number (2896545).

Almost surely, 252345992 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 52345992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69517080).

52345992 is an abundant number, since it is smaller than the sum of its proper divisors (86688168).

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

52345992 is a wasteful number, since it uses less digits than its factorization.

52345992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 7569 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 52345992 is about 7235.0530060256. The cubic root of 52345992 is about 374.0771190831.

The spelling of 52345992 in words is "fifty-two million, three hundred forty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 7547 15094 22641 30188 45282 60376 90564 128299 181128 256598 384897 513196 769794 1026392 1539588 2181083 3079176 4362166 6543249 8724332 13086498 17448664 26172996 52345992