Search a number
-
+
252130816 = 297103683
BaseRepresentation
bin11110000011100…
…11011000000000
3122120102120110101
433001303120000
51004021141231
641004012144
76151035160
oct1701633000
9576376411
10252130816
1111a359683
1270531054
134030a542
14256b25a0
1517205661
hexf073600

252130816 has 80 divisors (see below), whose sum is σ = 582177024. Its totient is φ = 106850304.

The previous prime is 252130799. The next prime is 252130861. The reversal of 252130816 is 618031252.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 368811 + ... + 369493.

Almost surely, 2252130816 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 252130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291088512).

252130816 is an abundant number, since it is smaller than the sum of its proper divisors (330046208).

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

252130816 is an equidigital number, since it uses as much as digits as its factorization.

252130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 252130816 is about 15878.6276485092. The cubic root of 252130816 is about 631.7452372737.

The spelling of 252130816 in words is "two hundred fifty-two million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 512 683 721 824 896 1366 1442 1648 1792 2732 2884 3296 3584 4781 5464 5768 6592 9562 10928 11536 13184 19124 21856 23072 26368 38248 43712 46144 52736 70349 76496 87424 92288 140698 152992 174848 184576 281396 305984 349696 369152 492443 562792 611968 984886 1125584 1223936 1969772 2251168 2447872 3939544 4502336 7879088 9004672 15758176 18009344 31516352 36018688 63032704 126065408 252130816