Search a number
-
+
1045897650 = 233527297163
BaseRepresentation
bin111110010101110…
…010000110110010
32200220001002212000
4332111302012302
54120222211100
6251441114430
734626661200
oct7625620662
92626032760
101045897650
11497422426
12252328a16
131388ba265
149cc98070
1561c4a900
hex3e5721b2

1045897650 has 288 divisors, whose sum is σ = 3407906880. Its totient is φ = 235146240.

The previous prime is 1045897639. The next prime is 1045897709. The reversal of 1045897650 is 567985401.

1045897650 is a `hidden beast` number, since 1 + 0 + 4 + 589 + 7 + 65 + 0 = 666.

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 = 1045897596 and 1045897605.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6416469 + ... + 6416631.

It is an arithmetic number, because the mean of its divisors is an integer number (11833010).

Almost surely, 21045897650 is an apocalyptic number.

1045897650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045897650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703953440).

1045897650 is an abundant number, since it is smaller than the sum of its proper divisors (2362009230).

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

1045897650 is a wasteful number, since it uses less digits than its factorization.

1045897650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1045897650 is about 32340.3409072941. The cubic root of 1045897650 is about 1015.0709423264.

The spelling of 1045897650 in words is "one billion, forty-five million, eight hundred ninety-seven thousand, six hundred fifty".