Search a number
-
+
755154048 = 27311317379
BaseRepresentation
bin101101000000101…
…011110010000000
31221121221210121110
4231000223302000
53021304412143
6202533323320
724466463205
oct5500536200
91847853543
10755154048
113582a0460
12190a96540
13c05b071c
1472413cac
1546469533
hex2d02bc80

755154048 has 256 divisors, whose sum is σ = 2318745600. Its totient is φ = 215654400.

The previous prime is 755154041. The next prime is 755154067. The reversal of 755154048 is 840451557.

It is a junction number, because it is equal to n+sod(n) for n = 755153997 and 755154015.

It is not an unprimeable number, because it can be changed into a prime (755154041) 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 31 ways as a sum of consecutive naturals, for example, 9558873 + ... + 9558951.

It is an arithmetic number, because the mean of its divisors is an integer number (9057600).

Almost surely, 2755154048 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 755154048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159372800).

755154048 is an abundant number, since it is smaller than the sum of its proper divisors (1563591552).

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

755154048 is a wasteful number, since it uses less digits than its factorization.

755154048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The square root of 755154048 is about 27480.0663754657. The cubic root of 755154048 is about 910.6367752582.

The spelling of 755154048 in words is "seven hundred fifty-five million, one hundred fifty-four thousand, forty-eight".