Search a number
-
+
794246040 = 233357313389
BaseRepresentation
bin101111010101110…
…011101110011000
32001100111212202000
4233111303232120
53111311333130
6210451241000
725452660060
oct5725635630
92040455660
10794246040
11378370895
121a1ba9160
13c8719b93
14776ac3a0
1549adc260
hex2f573b98

794246040 has 256 divisors, whose sum is σ = 3124224000. Its totient is φ = 175633920.

The previous prime is 794246029. The next prime is 794246041. The reversal of 794246040 is 40642497.

794246040 is a `hidden beast` number, since 7 + 9 + 42 + 4 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 794245986 and 794246004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (794246041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232666 + ... + 236054.

It is an arithmetic number, because the mean of its divisors is an integer number (12204000).

Almost surely, 2794246040 is an apocalyptic number.

794246040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 794246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562112000).

794246040 is an abundant number, since it is smaller than the sum of its proper divisors (2329977960).

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

794246040 is a wasteful number, since it uses less digits than its factorization.

794246040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 794246040 is about 28182.3710854853. The cubic root of 794246040 is about 926.0867830227.

The spelling of 794246040 in words is "seven hundred ninety-four million, two hundred forty-six thousand, forty".