Search a number
-
+
3125600352 = 253374491151
BaseRepresentation
bin1011101001001100…
…1110000001100000
322001211100221122000
42322103032001200
522400123202402
61234052244000
7140312110320
oct27223160140
98054327560
103125600352
111364357896
12732910600
133aa71c584
1421917d280
15134603c1c
hexba4ce060

3125600352 has 192 divisors, whose sum is σ = 10450944000. Its totient is φ = 890265600.

The previous prime is 3125600321. The next prime is 3125600353. The reversal of 3125600352 is 2530065213.

3125600352 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 600 + 3 + 52 = 666.

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 (3125600353) by changing a digit.

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, 2714977 + ... + 2716127.

It is an arithmetic number, because the mean of its divisors is an integer number (54432000).

Almost surely, 23125600352 is an apocalyptic number.

3125600352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125600352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472000).

3125600352 is an abundant number, since it is smaller than the sum of its proper divisors (7325343648).

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

3125600352 is a wasteful number, since it uses less digits than its factorization.

3125600352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3125600352 is about 55907.0688911519. The cubic root of 3125600352 is about 1462.1024865728.

Adding to 3125600352 its reverse (2530065213), we get a palindrome (5655665565).

The spelling of 3125600352 in words is "three billion, one hundred twenty-five million, six hundred thousand, three hundred fifty-two".