Search a number
-
+
806813952 = 2837150077
BaseRepresentation
bin110000000101110…
…000000100000000
32002020011101200020
4300011300010000
53123021021302
6212020453440
725664543160
oct6005600400
92066141606
10806813952
1138447529a
121a624a280
13cb1ca509
14792205a0
154ac70ebc
hex30170100

806813952 has 72 divisors (see below), whose sum is σ = 2454075456. Its totient is φ = 230516736.

The previous prime is 806813939. The next prime is 806813981. The reversal of 806813952 is 259318608.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69663 + ... + 80414.

Almost surely, 2806813952 is an apocalyptic number.

It is an amenable number.

806813952 is an abundant number, since it is smaller than the sum of its proper divisors (1647261504).

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

806813952 is a wasteful number, since it uses less digits than its factorization.

806813952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150103 (or 150089 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 806813952 is about 28404.4706340393. The cubic root of 806813952 is about 930.9459492834.

The spelling of 806813952 in words is "eight hundred six million, eight hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 150077 300154 450231 600308 900462 1050539 1200616 1800924 2101078 2401232 3151617 3601848 4202156 4802464 6303234 7203696 8404312 9604928 12606468 14407392 16808624 19209856 25212936 28814784 33617248 38419712 50425872 57629568 67234496 100851744 115259136 134468992 201703488 268937984 403406976 806813952