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769342950 = 232525772963
BaseRepresentation
bin101101110110110…
…011110111100110
31222121122200010100
4231312303313212
53033422433300
6204201404530
725031210235
oct5566636746
91877580110
10769342950
11365301822
12195799746
13c350ab1c
1474268b1c
154781d700
hex2ddb3de6

769342950 has 72 divisors (see below), whose sum is σ = 2071249128. Its totient is φ = 204733440.

The previous prime is 769342913. The next prime is 769342963. The reversal of 769342950 is 59243967.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 769342896 and 769342905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258169 + ... + 261131.

It is an arithmetic number, because the mean of its divisors is an integer number (28767349).

Almost surely, 2769342950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769342950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035624564).

769342950 is an abundant number, since it is smaller than the sum of its proper divisors (1301906178).

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

769342950 is a wasteful number, since it uses less digits than its factorization.

769342950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 769342950 is about 27737.0321051118. The cubic root of 769342950 is about 916.3048658507.

The spelling of 769342950 in words is "seven hundred sixty-nine million, three hundred forty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 577 1154 1731 2885 2963 3462 5193 5770 5926 8655 8889 10386 14425 14815 17310 17778 25965 26667 28850 29630 43275 44445 51930 53334 74075 86550 88890 129825 133335 148150 222225 259650 266670 444450 666675 1333350 1709651 3419302 5128953 8548255 10257906 15386859 17096510 25644765 30773718 42741275 51289530 76934295 85482550 128223825 153868590 256447650 384671475 769342950