Search a number
-
+
1026948296 = 231121099733
BaseRepresentation
bin111101001101011…
…111110011001000
32122120101101020002
4331031133303020
54100344321141
6245523022132
734306626233
oct7515376310
92576341202
101026948296
1148775a500
12247b0a948
131349b411a
149a56441a
1560255e9b
hex3d35fcc8

1026948296 has 48 divisors (see below), whose sum is σ = 2136126300. Its totient is φ = 462464640.

The previous prime is 1026948287. The next prime is 1026948311. The reversal of 1026948296 is 6928496201.

It can be written as a sum of positive squares in 2 ways, for example, as 931104196 + 95844100 = 30514^2 + 9790^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1026948296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100646 + ... + 110378.

Almost surely, 21026948296 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 1026948296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068063150).

1026948296 is an abundant number, since it is smaller than the sum of its proper divisors (1109178004).

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

1026948296 is a wasteful number, since it uses less digits than its factorization.

1026948296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 1026948296 is about 32046.0340135874. The cubic root of 1026948296 is about 1008.9032620108.

The spelling of 1026948296 in words is "one billion, twenty-six million, nine hundred forty-eight thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 88 109 121 218 242 436 484 872 968 1199 2398 4796 9592 9733 13189 19466 26378 38932 52756 77864 105512 107063 214126 428252 856504 1060897 1177693 2121794 2355386 4243588 4710772 8487176 9421544 11669867 23339734 46679468 93358936 128368537 256737074 513474148 1026948296