Search a number
-
+
52329144 = 2337674649
BaseRepresentation
bin1100011110011…
…1101010111000
310122110121002110
43013213222320
5101344013034
65105332320
71203535050
oct307475270
9118417073
1052329144
11275a172a
12156370a0
13aac25ba
146d42560
1548d9de9
hex31e7ab8

52329144 has 64 divisors (see below), whose sum is σ = 151776000. Its totient is φ = 14724864.

The previous prime is 52329143. The next prime is 52329157. The reversal of 52329144 is 44192325.

52329144 = T77 + T78 + ... + T679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52329143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8932 + ... + 13580.

It is an arithmetic number, because the mean of its divisors is an integer number (2371500).

Almost surely, 252329144 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 52329144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888000).

52329144 is an abundant number, since it is smaller than the sum of its proper divisors (99446856).

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

52329144 is a wasteful number, since it uses less digits than its factorization.

52329144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4728 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 52329144 is about 7233.8885808395. Note that the first 3 decimals coincide. The cubic root of 52329144 is about 374.0369814823.

The spelling of 52329144 in words is "fifty-two million, three hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 4649 5628 9298 11256 13947 18596 27894 32543 37192 55788 65086 97629 111576 130172 195258 260344 311483 390516 622966 781032 934449 1245932 1868898 2180381 2491864 3737796 4360762 6541143 7475592 8721524 13082286 17443048 26164572 52329144