Search a number
-
+
252504330 = 235134091583
BaseRepresentation
bin11110000110011…
…10100100001010
3122121010112211020
433003032210022
51004120114310
641020013310
76154152141
oct1703164412
9577115736
10252504330
1111a594271
1270691236
134040b560
142576c758
151727b170
hexf0ce90a

252504330 has 64 divisors (see below), whose sum is σ = 654635520. Its totient is φ = 61963776.

The previous prime is 252504323. The next prime is 252504341. The reversal of 252504330 is 33405252.

It is a self number, because there is not a number n which added to its sum of digits gives 252504330.

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 31 ways as a sum of consecutive naturals, for example, 158719 + ... + 160301.

It is an arithmetic number, because the mean of its divisors is an integer number (10228680).

Almost surely, 2252504330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252504330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327317760).

252504330 is an abundant number, since it is smaller than the sum of its proper divisors (402131190).

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

252504330 is a wasteful number, since it uses less digits than its factorization.

252504330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 252504330 is about 15890.3848285685. The cubic root of 252504330 is about 632.0570453369.

Adding to 252504330 its reverse (33405252), we get a palindrome (285909582).

The spelling of 252504330 in words is "two hundred fifty-two million, five hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 409 818 1227 1583 2045 2454 3166 4090 4749 5317 6135 7915 9498 10634 12270 15830 15951 20579 23745 26585 31902 41158 47490 53170 61737 79755 102895 123474 159510 205790 308685 617370 647447 1294894 1942341 3237235 3884682 6474470 8416811 9711705 16833622 19423410 25250433 42084055 50500866 84168110 126252165 252504330