Search a number
-
+
52308072 = 23332310529
BaseRepresentation
bin1100011110001…
…0100001101000
310122102112012000
43013202201220
5101342324242
65105051000
71203416445
oct307424150
9118375160
1052308072
1127587913
1215626a60
13aab5b2b
146d389cc
1548d3a4c
hex31e2868

52308072 has 64 divisors (see below), whose sum is σ = 151632000. Its totient is φ = 16676352.

The previous prime is 52308071. The next prime is 52308073. The reversal of 52308072 is 27080325.

It is an interprime number because it is at equal distance from previous prime (52308071) and next prime (52308073).

It is a super-2 number, since 2×523080722 = 5472268792714368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52308071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297 + ... + 10232.

It is an arithmetic number, because the mean of its divisors is an integer number (2369250).

Almost surely, 252308072 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 52308072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816000).

52308072 is an abundant number, since it is smaller than the sum of its proper divisors (99323928).

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

52308072 is a wasteful number, since it uses less digits than its factorization.

52308072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 52308072 is about 7232.4319561265. The cubic root of 52308072 is about 373.9867687656.

Adding to 52308072 its reverse (27080325), we get a palindrome (79388397).

The spelling of 52308072 in words is "fifty-two million, three hundred eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 10529 21058 31587 42116 63174 84232 94761 126348 189522 242167 252696 284283 379044 484334 568566 726501 758088 968668 1137132 1453002 1937336 2179503 2274264 2906004 4359006 5812008 6538509 8718012 13077018 17436024 26154036 52308072