Search a number
-
+
755049870 = 23355235347
BaseRepresentation
bin101101000000010…
…010010110001110
31221121202111201000
4231000102112032
53021243043440
6202531201130
724465550401
oct5500222616
91847674630
10755049870
1135822a163
12190a461a6
13c0575193
14723c7d38
1546448730
hex2d01258e

755049870 has 64 divisors (see below), whose sum is σ = 2017693440. Its totient is φ = 200924064.

The previous prime is 755049851. The next prime is 755049871. The reversal of 755049870 is 78940557.

755049870 is a `hidden beast` number, since 7 + 550 + 4 + 98 + 7 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755049871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138537 + ... + 143883.

It is an arithmetic number, because the mean of its divisors is an integer number (31526460).

Almost surely, 2755049870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755049870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008846720).

755049870 is an abundant number, since it is smaller than the sum of its proper divisors (1262643570).

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

755049870 is a wasteful number, since it uses less digits than its factorization.

755049870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 755049870 is about 27478.1707906476. The cubic root of 755049870 is about 910.5948974095.

The spelling of 755049870 in words is "seven hundred fifty-five million, forty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 523 1046 1569 2615 3138 4707 5230 5347 7845 9414 10694 14121 15690 16041 23535 26735 28242 32082 47070 48123 53470 70605 80205 96246 141210 144369 160410 240615 288738 481230 721845 1443690 2796481 5592962 8389443 13982405 16778886 25168329 27964810 41947215 50336658 75504987 83894430 125841645 151009974 251683290 377524935 755049870