Search a number
-
+
12802352 = 2419231831
BaseRepresentation
bin110000110101…
…100100110000
3220002102112012
4300311210300
511234133402
61134222052
7213550433
oct60654460
926072465
1012802352
117254662
124354928
132863274
1419b381a
1511cd452
hexc35930

12802352 has 40 divisors (see below), whose sum is σ = 27260160. Its totient is φ = 5797440.

The previous prime is 12802331. The next prime is 12802357. The reversal of 12802352 is 25320821.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (12802357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6077 + ... + 7907.

It is an arithmetic number, because the mean of its divisors is an integer number (681504).

Almost surely, 212802352 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 12802352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13630080).

12802352 is an abundant number, since it is smaller than the sum of its proper divisors (14457808).

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

12802352 is a wasteful number, since it uses less digits than its factorization.

12802352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12802352 is about 3578.0374508940. The cubic root of 12802352 is about 233.9357458665.

The spelling of 12802352 in words is "twelve million, eight hundred two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 1831 3496 3662 6992 7324 14648 29296 34789 42113 69578 84226 139156 168452 278312 336904 556624 673808 800147 1600294 3200588 6401176 12802352